23007753216000 has 4704 divisors, whose sum is σ = 108910348805232. Its totient is φ = 4815794995200.

The previous prime is 23007753215933. The next prime is 23007753216047. The reversal of 23007753216000 is 61235770032.

23007753216000 is a `hidden beast` number, since 23 + 0 + 0 + 7 + 7 + 5 + 3 + 21 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6391107588096 + 16616645627904 = 2528064^2 + 4076352^2 .

It is a tau number, because it is divible by the number of its divisors (4704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 621831167982 + ... + 621831168018.

Almost surely, 2^{23007753216000} is an apocalyptic number.

23007753216000 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 23007753216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54455174402616).

23007753216000 is an abundant number, since it is smaller than the sum of its proper divisors (85902595589232).

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

23007753216000 is an frugal number, since it uses more digits than its factorization.

23007753216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 23007753216000 its reverse (61235770032), we get a palindrome (23068988986032).

The spelling of 23007753216000 in words is "twenty-three trillion, seven billion, seven hundred fifty-three million, two hundred sixteen thousand".