25761087072 has 672 divisors, whose sum is σ = 95719518720. Its totient is φ = 6669755136.

The previous prime is 25761086971. The next prime is 25761087097. The reversal of 25761087072 is 27078016752.

25761087072 is a `hidden beast` number, since 2 + 576 + 1 + 0 + 8 + 7 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1120047253 + ... + 1120047275.

It is an arithmetic number, because the mean of its divisors is an integer number (142439760).

Almost surely, 2^25761087072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25761087072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47859759360).

25761087072 is an abundant number, since it is smaller than the sum of its proper divisors (69958431648).

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

25761087072 is an frugal number, since it uses more digits than its factorization.

25761087072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 25761087072 in words is "twenty-five billion, seven hundred sixty-one million, eighty-seven thousand, seventy-two".