25971127272 has 96 divisors (see below), whose sum is σ = 73506026880. Its totient is φ = 8275760640.

The previous prime is 25971127253. The next prime is 25971127297. The reversal of 25971127272 is 27272117952.

25971127272 is a `hidden beast` number, since 2 + 597 + 11 + 27 + 27 + 2 = 666.

It is a super-3 number, since 3×25971127272³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56272 + ... + 234752.

It is an arithmetic number, because the mean of its divisors is an integer number (765687780).

Almost surely, 2^25971127272 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 25971127272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36753013440).

25971127272 is an abundant number, since it is smaller than the sum of its proper divisors (47534899608).

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

25971127272 is a wasteful number, since it uses less digits than its factorization.

25971127272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178583 (or 178576 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

The spelling of 25971127272 in words is "twenty-five billion, nine hundred seventy-one million, one hundred twenty-seven thousand, two hundred seventy-two".