25328722500 has 135 divisors (see below), whose sum is σ = 80081594593. Its totient is φ = 6747960000.

The previous prime is 25328722493. The next prime is 25328722513. The reversal of 25328722500 is 522782352.

It is a happy number.

The square root of 25328722500 is 159150.

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

25328722500 is a `hidden beast` number, since 2 + 53 + 2 + 87 + 22 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 15735695364 + 9593027136 = 125442^2 + 97944^2 .

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

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 23871970 + ... + 23873030.

Almost surely, 2^25328722500 is an apocalyptic number.

25328722500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25328722500 is the 159150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25328722500

25328722500 is an abundant number, since it is smaller than the sum of its proper divisors (54752872093).

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

25328722500 is an equidigital number, since it uses as much as digits as its factorization.

25328722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 25328722500 by its sum of digits (36), we get a square (911834010000 = 954900²).

25328722500 divided by its sum of digits (36) gives a square (703575625 = 26525²).

The spelling of 25328722500 in words is "twenty-five billion, three hundred twenty-eight million, seven hundred twenty-two thousand, five hundred".