25130534400 has 540 divisors, whose sum is σ = 93339350676. Its totient is φ = 6456729600.

The previous prime is 25130534381. The next prime is 25130534417. The reversal of 25130534400 is 443503152.

25130534400 is a `hidden beast` number, since 251 + 3 + 0 + 5 + 3 + 4 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 110707087 + ... + 110707313.

Almost surely, 2^25130534400 is an apocalyptic number.

25130534400 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 25130534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46669675338).

25130534400 is an abundant number, since it is smaller than the sum of its proper divisors (68208816276).

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

25130534400 is a wasteful number, since it uses less digits than its factorization.

25130534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 25130534400 in words is "twenty-five billion, one hundred thirty million, five hundred thirty-four thousand, four hundred".