25256930400 has 432 divisors, whose sum is σ = 96610222800. Its totient is φ = 6171955200.

The previous prime is 25256930389. The next prime is 25256930401. The reversal of 25256930400 is 403965252.

25256930400 is a `hidden beast` number, since 2 + 52 + 569 + 3 + 0 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25256930401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13945495 + ... + 13947305.

It is an arithmetic number, because the mean of its divisors is an integer number (223634775).

Almost surely, 2^25256930400 is an apocalyptic number.

25256930400 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 25256930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48305111400).

25256930400 is an abundant number, since it is smaller than the sum of its proper divisors (71353292400).

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

25256930400 is a wasteful number, since it uses less digits than its factorization.

25256930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 25256930400 in words is "twenty-five billion, two hundred fifty-six million, nine hundred thirty thousand, four hundred".