25712122500 has 135 divisors (see below), whose sum is σ = 81293213001. Its totient is φ = 6850152000.

The previous prime is 25712122489. The next prime is 25712122523. The reversal of 25712122500 is 522121752.

The square root of 25712122500 is 160350.

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

25712122500 is a `hidden beast` number, since 2 + 571 + 21 + 22 + 50 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 20455292484 + 5256830016 = 143022^2 + 72504^2 .

It is a super-2 number, since 2×25712122500² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24051966 + ... + 24053034.

Almost surely, 2^25712122500 is an apocalyptic number.

25712122500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25712122500 is the 160350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25712122500

25712122500 is an abundant number, since it is smaller than the sum of its proper divisors (55581090501).

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

25712122500 is an equidigital number, since it uses as much as digits as its factorization.

25712122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 25712122500 in words is "twenty-five billion, seven hundred twelve million, one hundred twenty-two thousand, five hundred".