25881292800 has 1248 divisors, whose sum is σ = 111156456960. Its totient is φ = 5839257600.

The previous prime is 25881292799. The next prime is 25881292831. The reversal of 25881292800 is 829218852.

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

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, 699494382 + ... + 699494418.

Almost surely, 2^25881292800 is an apocalyptic number.

25881292800 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 25881292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55578228480).

25881292800 is an abundant number, since it is smaller than the sum of its proper divisors (85275164160).

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

25881292800 is a wasteful number, since it uses less digits than its factorization.

25881292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 25881292800 in words is "twenty-five billion, eight hundred eighty-one million, two hundred ninety-two thousand, eight hundred".