25816125600 has 648 divisors, whose sum is σ = 97989353280. Its totient is φ = 6631372800.

The previous prime is 25816125593. The next prime is 25816125623. The reversal of 25816125600 is 652161852.

25816125600 is a `hidden beast` number, since 2 + 5 + 81 + 6 + 12 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 107 ways as a sum of consecutive naturals, for example, 326786361 + ... + 326786439.

Almost surely, 2^25816125600 is an apocalyptic number.

25816125600 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 25816125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48994676640).

25816125600 is an abundant number, since it is smaller than the sum of its proper divisors (72173227680).

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

25816125600 is an equidigital number, since it uses as much as digits as its factorization.

25816125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 25816125600 in words is "twenty-five billion, eight hundred sixteen million, one hundred twenty-five thousand, six hundred".