25133272704 has 256 divisors, whose sum is σ = 78012864000. Its totient is φ = 7954329600.

The previous prime is 25133272699. The next prime is 25133272721. The reversal of 25133272704 is 40727233152.

25133272704 is a `hidden beast` number, since 2 + 51 + 332 + 7 + 270 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6111609 + ... + 6115719.

It is an arithmetic number, because the mean of its divisors is an integer number (304737750).

Almost surely, 2^25133272704 is an apocalyptic number.

25133272704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25133272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39006432000).

25133272704 is an abundant number, since it is smaller than the sum of its proper divisors (52879591296).

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

25133272704 is a wasteful number, since it uses less digits than its factorization.

25133272704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 25133272704 in words is "twenty-five billion, one hundred thirty-three million, two hundred seventy-two thousand, seven hundred four".