25349353272 has 256 divisors, whose sum is σ = 76735680000. Its totient is φ = 7726233600.

The previous prime is 25349353261. The next prime is 25349353277. The reversal of 25349353272 is 27235394352.

25349353272 is a `hidden beast` number, since 2 + 5 + 3 + 49 + 3 + 532 + 72 = 666.

It is a super-2 number, since 2×25349353272² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25349353277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21106272 + ... + 21107472.

It is an arithmetic number, because the mean of its divisors is an integer number (299748750).

Almost surely, 2^25349353272 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 25349353272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38367840000).

25349353272 is an abundant number, since it is smaller than the sum of its proper divisors (51386326728).

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

25349353272 is a wasteful number, since it uses less digits than its factorization.

25349353272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1401 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 25349353272 in words is "twenty-five billion, three hundred forty-nine million, three hundred fifty-three thousand, two hundred seventy-two".