25272135264 has 96 divisors (see below), whose sum is σ = 71031310560. Its totient is φ = 7839383552.

The previous prime is 25272135241. The next prime is 25272135299. The reversal of 25272135264 is 46253127252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58252 + ... + 232244.

It is an arithmetic number, because the mean of its divisors is an integer number (739909485).

Almost surely, 2^25272135264 is an apocalyptic number.

25272135264 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 25272135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35515655280).

25272135264 is an abundant number, since it is smaller than the sum of its proper divisors (45759175296).

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

25272135264 is a wasteful number, since it uses less digits than its factorization.

25272135264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174112 (or 174104 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The spelling of 25272135264 in words is "twenty-five billion, two hundred seventy-two million, one hundred thirty-five thousand, two hundred sixty-four".