25581443364 has 243 divisors, whose sum is σ = 72531697329. Its totient is φ = 7600443840.

The previous prime is 25581443353. The next prime is 25581443399. The reversal of 25581443364 is 46334418552.

The square root of 25581443364 is 159942.

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

25581443364 is a `hidden beast` number, since 2 + 5 + 581 + 4 + 4 + 3 + 3 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 831860964 + 24749582400 = 28842^2 + 157320^2 .

Its product of digits (1382400) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 419367894 + ... + 419367954.

Almost surely, 2^25581443364 is an apocalyptic number.

25581443364 is the 159942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25581443364

25581443364 is an abundant number, since it is smaller than the sum of its proper divisors (46950253965).

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

25581443364 is a wasteful number, since it uses less digits than its factorization.

25581443364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 108 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 25581443364 in words is "twenty-five billion, five hundred eighty-one million, four hundred forty-three thousand, three hundred sixty-four".