23725514252160 has 896 divisors, whose sum is σ = 101413659087360. Its totient is φ = 5187176755200.

The previous prime is 23725514252129. The next prime is 23725514252171. The reversal of 23725514252160 is 6125241552732.

It is a happy number.

23725514252160 is a `hidden beast` number, since 2 + 3 + 7 + 2 + 5 + 5 + 1 + 425 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 74958235 + ... + 75274085.

Almost surely, 2^{23725514252160} is an apocalyptic number.

23725514252160 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 23725514252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50706829543680).

23725514252160 is an abundant number, since it is smaller than the sum of its proper divisors (77688144835200).

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

23725514252160 is an equidigital number, since it uses as much as digits as its factorization.

23725514252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315918 (or 315891 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 23725514252160 in words is "twenty-three trillion, seven hundred twenty-five billion, five hundred fourteen million, two hundred fifty-two thousand, one hundred sixty".