25310671272 has 192 divisors, whose sum is σ = 75263806800. Its totient is φ = 7648542720.

The previous prime is 25310671259. The next prime is 25310671279. The reversal of 25310671272 is 27217601352.

25310671272 is a `hidden beast` number, since 2 + 5 + 310 + 6 + 71 + 272 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2229161796 + 23081509476 = 47214^2 + 151926^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25310671279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27011988 + ... + 27012924.

Almost surely, 2^25310671272 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 25310671272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37631903400).

25310671272 is an abundant number, since it is smaller than the sum of its proper divisors (49953135528).

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

25310671272 is a wasteful number, since it uses less digits than its factorization.

25310671272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 25310671272 in words is "twenty-five billion, three hundred ten million, six hundred seventy-one thousand, two hundred seventy-two".