25135790400 has 840 divisors, whose sum is σ = 107013329280. Its totient is φ = 5668392960.

The previous prime is 25135790371. The next prime is 25135790401. The reversal of 25135790400 is 409753152.

25135790400 is a `hidden beast` number, since 2 + 513 + 57 + 90 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 (25135790401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93441466 + ... + 93441734.

Almost surely, 2^25135790400 is an apocalyptic number.

25135790400 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 25135790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53506664640).

25135790400 is an abundant number, since it is smaller than the sum of its proper divisors (81877538880).

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

25135790400 is a wasteful number, since it uses less digits than its factorization.

25135790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 25135790400 in words is "twenty-five billion, one hundred thirty-five million, seven hundred ninety thousand, four hundred".