25789478400 has 360 divisors, whose sum is σ = 105481497264. Its totient is φ = 5894553600.

The previous prime is 25789478389. The next prime is 25789478413. The reversal of 25789478400 is 487498752.

It is a happy number.

25789478400 is a `hidden beast` number, since 2 + 57 + 89 + 478 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×25789478400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 790410 + ... + 822390.

Almost surely, 2^25789478400 is an apocalyptic number.

25789478400 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 25789478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52740748632).

25789478400 is an abundant number, since it is smaller than the sum of its proper divisors (79692018864).

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

25789478400 is a wasteful number, since it uses less digits than its factorization.

25789478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32022 (or 31998 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 25789478400 in words is "twenty-five billion, seven hundred eighty-nine million, four hundred seventy-eight thousand, four hundred".