25555680 has 72 divisors (see below), whose sum is σ = 87213672. Its totient is φ = 6814464.

The previous prime is 25555679. The next prime is 25555697. The reversal of 25555680 is 8655552.

25555680 is a `hidden beast` number, since 25 + 5 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7434 + ... + 10313.

It is an arithmetic number, because the mean of its divisors is an integer number (1211301).

Almost surely, 2^25555680 is an apocalyptic number.

25555680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25555680 is an abundant number, since it is smaller than the sum of its proper divisors (61657992).

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

25555680 is a wasteful number, since it uses less digits than its factorization.

25555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17768 (or 17757 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 25555680 is about 5055.2626044549. The cubic root of 25555680 is about 294.5523421925.

The spelling of 25555680 in words is "twenty-five million, five hundred fifty-five thousand, six hundred eighty".