25687113984 has 567 divisors, whose sum is σ = 91145926893. Its totient is φ = 7200700416.

The previous prime is 25687113971. The next prime is 25687114001. The reversal of 25687113984 is 48931178652.

The square root of 25687113984 is 160272.

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

25687113984 is a `hidden beast` number, since 2 + 568 + 71 + 1 + 3 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18517766400 + 7169347584 = 136080^2 + 84672^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25687113984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 484662502 + ... + 484662554.

Almost surely, 2^25687113984 is an apocalyptic number.

25687113984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25687113984 is the 160272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25687113984

25687113984 is an abundant number, since it is smaller than the sum of its proper divisors (65458812909).

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

25687113984 is an frugal number, since it uses more digits than its factorization.

25687113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 65 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 25687113984 in words is "twenty-five billion, six hundred eighty-seven million, one hundred thirteen thousand, nine hundred eighty-four".