25023688560 has 1280 divisors, whose sum is σ = 107993088000. Its totient is φ = 5255331840.

The previous prime is 25023688549. The next prime is 25023688619. The reversal of 25023688560 is 6588632052.

25023688560 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 3 + 6 + 88 + 560 = 666.

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

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 281164996 + ... + 281165084.

It is an arithmetic number, because the mean of its divisors is an integer number (84369600).

Almost surely, 2^25023688560 is an apocalyptic number.

25023688560 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 25023688560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544000).

25023688560 is an abundant number, since it is smaller than the sum of its proper divisors (82969399440).

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

25023688560 is a wasteful number, since it uses less digits than its factorization.

25023688560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25023688560 in words is "twenty-five billion, twenty-three million, six hundred eighty-eight thousand, five hundred sixty".