25376500400 has 120 divisors (see below), whose sum is σ = 61683284160. Its totient is φ = 10031902720.

The previous prime is 25376500399. The next prime is 25376500421. The reversal of 25376500400 is 400567352.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23006249 + ... + 23007351.

It is an arithmetic number, because the mean of its divisors is an integer number (514027368).

Almost surely, 2^25376500400 is an apocalyptic number.

25376500400 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 25376500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30841642080).

25376500400 is an abundant number, since it is smaller than the sum of its proper divisors (36306783760).

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

25376500400 is a wasteful number, since it uses less digits than its factorization.

25376500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 25376500400 in words is "twenty-five billion, three hundred seventy-six million, five hundred thousand, four hundred".