25806686400 has 504 divisors, whose sum is σ = 103425619920. Its totient is φ = 6254899200.

The previous prime is 25806686377. The next prime is 25806686449. The reversal of 25806686400 is 468660852.

25806686400 is a `hidden beast` number, since 2 + 580 + 6 + 6 + 8 + 64 + 0 + 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, 5224732 + ... + 5229668.

Almost surely, 2^25806686400 is an apocalyptic number.

25806686400 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 25806686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51712809960).

25806686400 is an abundant number, since it is smaller than the sum of its proper divisors (77618933520).

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

25806686400 is a wasteful number, since it uses less digits than its factorization.

25806686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 25806686400 in words is "twenty-five billion, eight hundred six million, six hundred eighty-six thousand, four hundred".