23216352952320 has 1024 divisors, whose sum is σ = 94793179392000. Its totient is φ = 5331773030400.

The previous prime is 23216352952297. The next prime is 23216352952321. The reversal of 23216352952320 is 2325925361232.

23216352952320 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 6 + 35 + 295 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23216352952321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 924536565 + ... + 924561675.

It is an arithmetic number, because the mean of its divisors is an integer number (92571464250).

Almost surely, 2^{23216352952320} is an apocalyptic number.

23216352952320 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 23216352952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47396589696000).

23216352952320 is an abundant number, since it is smaller than the sum of its proper divisors (71576826439680).

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

23216352952320 is a wasteful number, since it uses less digits than its factorization.

23216352952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25185 (or 25151 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 23216352952320 in words is "twenty-three trillion, two hundred sixteen billion, three hundred fifty-two million, nine hundred fifty-two thousand, three hundred twenty".