25816492800 has 648 divisors, whose sum is σ = 110158314000. Its totient is φ = 5898977280.

The previous prime is 25816492799. The next prime is 25816492811. The reversal of 25816492800 is 829461852.

25816492800 is a `hidden beast` number, since 2 + 5 + 81 + 6 + 492 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8465676 + ... + 8468724.

Almost surely, 2^25816492800 is an apocalyptic number.

25816492800 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 25816492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55079157000).

25816492800 is an abundant number, since it is smaller than the sum of its proper divisors (84341821200).

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

25816492800 is a wasteful number, since it uses less digits than its factorization.

25816492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 25816492800 in words is "twenty-five billion, eight hundred sixteen million, four hundred ninety-two thousand, eight hundred".