25880025600 has 720 divisors, whose sum is σ = 108878593824. Its totient is φ = 5787648000.

The previous prime is 25880025593. The next prime is 25880025629. The reversal of 25880025600 is 652008852.

25880025600 is a `hidden beast` number, since 25 + 8 + 8 + 0 + 0 + 25 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 16472815 + ... + 16474385.

Almost surely, 2^25880025600 is an apocalyptic number.

25880025600 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 25880025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54439296912).

25880025600 is an abundant number, since it is smaller than the sum of its proper divisors (82998568224).

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

25880025600 is a wasteful number, since it uses less digits than its factorization.

25880025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 25880025600 in words is "twenty-five billion, eight hundred eighty million, twenty-five thousand, six hundred".