25718536900 has 243 divisors, whose sum is σ = 68098655079. Its totient is φ = 8405953920.

The previous prime is 25718536859. The next prime is 25718536903. The reversal of 25718536900 is 963581752.

The square root of 25718536900 is 160370.

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 353515204 + 25365021696 = 18802^2 + 159264^2 .

It is a super-2 number, since 2×25718536900² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25718536903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 325551061 + ... + 325551139.

Almost surely, 2^25718536900 is an apocalyptic number.

25718536900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25718536900 is the 160370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25718536900

25718536900 is an abundant number, since it is smaller than the sum of its proper divisors (42380118179).

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

25718536900 is a wasteful number, since it uses less digits than its factorization.

25718536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 25718536900 in words is "twenty-five billion, seven hundred eighteen million, five hundred thirty-six thousand, nine hundred".