25956680400 has 180 divisors, whose sum is σ = 102945118432. Its totient is φ = 5932949760.

The previous prime is 25956680389. The next prime is 25956680413. The reversal of 25956680400 is 408665952.

25956680400 is a `hidden beast` number, since 2 + 5 + 9 + 566 + 80 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489814 + ... + 540213.

Almost surely, 2^25956680400 is an apocalyptic number.

25956680400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25956680400 is an abundant number, since it is smaller than the sum of its proper divisors (76988438032).

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

25956680400 is a wasteful number, since it uses less digits than its factorization.

25956680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030058 (or 1030044 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 25956680400 in words is "twenty-five billion, nine hundred fifty-six million, six hundred eighty thousand, four hundred".