25500896100 has 81 divisors (see below), whose sum is σ = 79946161113. Its totient is φ = 6798961440.

The previous prime is 25500896089. The next prime is 25500896101. The reversal of 25500896100 is 169800552.

It is a happy number.

The square root of 25500896100 is 159690.

It is a perfect power (a square), and thus also a powerful number.

25500896100 is a `hidden beast` number, since 2 + 550 + 0 + 8 + 96 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9180322596 + 16320573504 = 95814^2 + 127752^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25500896101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4788039 + ... + 4793361.

Almost surely, 2^25500896100 is an apocalyptic number.

25500896100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25500896100 is the 159690-th square number.

It is an amenable number.

25500896100 is an abundant number, since it is smaller than the sum of its proper divisors (54445265013).

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

25500896100 is an equidigital number, since it uses as much as digits as its factorization.

25500896100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 25500896100 by its sum of digits (36), we get a square (918032259600 = 958140²).

25500896100 divided by its sum of digits (36) gives a square (708358225 = 26615²).

It can be divided in two parts, 25500 and 896100, that added together give a square (921600 = 960²).

The spelling of 25500896100 in words is "twenty-five billion, five hundred million, eight hundred ninety-six thousand, one hundred".