23252120685696 has 768 divisors, whose sum is σ = 77500806048000. Its totient is φ = 6038973480960.

The previous prime is 23252120685671. The next prime is 23252120685737. The reversal of 23252120685696 is 69658602125232.

It is a happy number.

23252120685696 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23252120685696² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2771735070 + ... + 2771743458.

It is an arithmetic number, because the mean of its divisors is an integer number (100912507875).

Almost surely, 2^{23252120685696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23252120685696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38750403024000).

23252120685696 is an abundant number, since it is smaller than the sum of its proper divisors (54248685362304).

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

23252120685696 is a wasteful number, since it uses less digits than its factorization.

23252120685696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541 (or 8498 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 23252120685696 in words is "twenty-three trillion, two hundred fifty-two billion, one hundred twenty million, six hundred eighty-five thousand, six hundred ninety-six".