25596800100 has 81 divisors (see below), whose sum is σ = 80246795083. Its totient is φ = 6824533440.

The previous prime is 25596800083. The next prime is 25596800101. The reversal of 25596800100 is 100869552.

It is a happy number.

The square root of 25596800100 is 159990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7892900964 + 17703899136 = 88842^2 + 133056^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25596800101) 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 26 ways as a sum of consecutive naturals, for example, 4797034 + ... + 4802366.

Almost surely, 2^25596800100 is an apocalyptic number.

25596800100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25596800100 is the 159990-th square number.

It is an amenable number.

25596800100 is an abundant number, since it is smaller than the sum of its proper divisors (54649994983).

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

25596800100 is an equidigital number, since it uses as much as digits as its factorization.

25596800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686 (or 5343 counting only the distinct ones).

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

Multiplying 25596800100 by its sum of digits (36), we get a square (921484803600 = 959940²).

25596800100 divided by its sum of digits (36) gives a square (711022225 = 26665²).

The spelling of 25596800100 in words is "twenty-five billion, five hundred ninety-six million, eight hundred thousand, one hundred".