23205440232000 has 2688 divisors, whose sum is σ = 99630408084480. Its totient is φ = 5097671884800.

The previous prime is 23205440231993. The next prime is 23205440232011. The reversal of 23205440232000 is 23204450232.

It is a happy number.

23205440232000 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 54 + 402 + 3 + 200 + 0 = 666.

It is a super-5 number, since 5×23205440232000⁵ (a number of 68 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59654087806 + ... + 59654088194.

It is an arithmetic number, because the mean of its divisors is an integer number (37064883960).

Almost surely, 2^{23205440232000} is an apocalyptic number.

23205440232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23205440232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49815204042240).

23205440232000 is an abundant number, since it is smaller than the sum of its proper divisors (76424967852480).

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

23205440232000 is a wasteful number, since it uses less digits than its factorization.

23205440232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23205440232000 its reverse (23204450232), we get a palindrome (23228644682232).

The spelling of 23205440232000 in words is "twenty-three trillion, two hundred five billion, four hundred forty million, two hundred thirty-two thousand".