23725114560 has 672 divisors, whose sum is σ = 102477173760. Its totient is φ = 4912275456.

The previous prime is 23725114549. The next prime is 23725114681. The reversal of 23725114560 is 6541152732.

23725114560 is a `hidden beast` number, since 2 + 37 + 2 + 51 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8808574 + ... + 8811266.

Almost surely, 2^23725114560 is an apocalyptic number.

23725114560 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 23725114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51238586880).

23725114560 is an abundant number, since it is smaller than the sum of its proper divisors (78752059200).

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

23725114560 is a wasteful number, since it uses less digits than its factorization.

23725114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 23725114560 in words is "twenty-three billion, seven hundred twenty-five million, one hundred fourteen thousand, five hundred sixty".