25686472900 has 243 divisors, whose sum is σ = 64683302061. Its totient is φ = 8846904000.

The previous prime is 25686472897. The next prime is 25686472901. The reversal of 25686472900 is 927468652.

The square root of 25686472900 is 160270.

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

It can be written as a sum of positive squares in only one way, i.e., 9247130244 + 16439342656 = 96162^2 + 128216^2 .

It is not an unprimeable number, because it can be changed into a prime (25686472901) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 546520677 + ... + 546520723.

Almost surely, 2^25686472900 is an apocalyptic number.

25686472900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25686472900 is the 160270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25686472900

25686472900 is an abundant number, since it is smaller than the sum of its proper divisors (38996829161).

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

25686472900 is a wasteful number, since it uses less digits than its factorization.

25686472900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 25686472900 by its sum of digits (49), we get a square (1258637172100 = 1121890²).

The spelling of 25686472900 in words is "twenty-five billion, six hundred eighty-six million, four hundred seventy-two thousand, nine hundred".