25968677904 has 135 divisors (see below), whose sum is σ = 78773003127. Its totient is φ = 7982627328.

The previous prime is 25968677887. The next prime is 25968677929. The reversal of 25968677904 is 40977686952.

The square root of 25968677904 is 161148.

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 1105695504 + 24862982400 = 33252^2 + 157680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25138572 + ... + 25139604.

Almost surely, 2^25968677904 is an apocalyptic number.

25968677904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25968677904 is the 161148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25968677904

25968677904 is an abundant number, since it is smaller than the sum of its proper divisors (52804325223).

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

25968677904 is a wasteful number, since it uses less digits than its factorization.

25968677904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 25968677904 in words is "twenty-five billion, nine hundred sixty-eight million, six hundred seventy-seven thousand, nine hundred four".