25590400900 has 81 divisors (see below), whose sum is σ = 59052613837. Its totient is φ = 9623795200.

The previous prime is 25590400877. The next prime is 25590400907. The reversal of 25590400900 is 900409552.

The square root of 25590400900 is 159970.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6111174276 + 19479226624 = 78174^2 + 139568^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25590400907) 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, 27194430 + ... + 27195370.

Almost surely, 2^25590400900 is an apocalyptic number.

25590400900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25590400900 is the 159970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25590400900

25590400900 is an abundant number, since it is smaller than the sum of its proper divisors (33462212937).

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

25590400900 is an equidigital number, since it uses as much as digits as its factorization.

25590400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The spelling of 25590400900 in words is "twenty-five billion, five hundred ninety million, four hundred thousand, nine hundred".