23257696320 has 224 divisors, whose sum is σ = 86366908800. Its totient is φ = 5875587072.

The previous prime is 23257696291. The next prime is 23257696333. The reversal of 23257696320 is 2369675232.

23257696320 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 7 + 6 + 9 + 632 + 0 = 666.

It is a super-2 number, since 2×23257696320² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93322 + ... + 234998.

Almost surely, 2^23257696320 is an apocalyptic number.

23257696320 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 23257696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43183454400).

23257696320 is an abundant number, since it is smaller than the sum of its proper divisors (63109212480).

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

23257696320 is a wasteful number, since it uses less digits than its factorization.

23257696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141722 (or 141706 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 23257696320 in words is "twenty-three billion, two hundred fifty-seven million, six hundred ninety-six thousand, three hundred twenty".