23132252160000 has 1125 divisors, whose sum is σ = 86878900789219. Its totient is φ = 6131662848000.

The previous prime is 23132252159993. The next prime is 23132252160007. The reversal of 23132252160000 is 6125223132.

It is a happy number.

The square root of 23132252160000 is 4809600.

It is a perfect power (a square), and thus also a powerful number.

23132252160000 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 2 + 2 + 52 + 1 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23132252159993) and next prime (23132252160007).

It can be written as a sum of positive squares in 2 ways, for example, as 1813568569344 + 21318683590656 = 1346688^2 + 4617216^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23132252160007) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 138516479917 + ... + 138516480083.

Almost surely, 2^{23132252160000} is an apocalyptic number.

23132252160000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23132252160000 is the 4809600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132252160000

23132252160000 is an abundant number, since it is smaller than the sum of its proper divisors (63746648629219).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23132252160000 is an frugal number, since it uses more digits than its factorization.

23132252160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 23132252160000 its reverse (6125223132), we get a palindrome (23138377383132).

It can be divided in two parts, 2313225 and 2160000, that added together give a square (4473225 = 2115²).

The spelling of 23132252160000 in words is "twenty-three trillion, one hundred thirty-two billion, two hundred fifty-two million, one hundred sixty thousand".