25227816652900 has 81 divisors (see below), whose sum is σ = 55302872717953. Its totient is φ = 9989205424000.

The previous prime is 25227816652879. The next prime is 25227816652949. The reversal of 25227816652900 is 925661872252.

The square root of 25227816652900 is 5022730.

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 903271564836 + 24324545088064 = 950406^2 + 4931992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5072954814 + ... + 5072959786.

Almost surely, 2^{25227816652900} is an apocalyptic number.

25227816652900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25227816652900 is the 5022730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25227816652900

25227816652900 is an abundant number, since it is smaller than the sum of its proper divisors (30075056065053).

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

25227816652900 is an frugal number, since it uses more digits than its factorization.

25227816652900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10162 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 25227816652900 in words is "twenty-five trillion, two hundred twenty-seven billion, eight hundred sixteen million, six hundred fifty-two thousand, nine hundred".