25628046274992 has 160 divisors (see below), whose sum is σ = 75763350835200. Its totient is φ = 7312664816640.

The previous prime is 25628046274981. The next prime is 25628046275021. The reversal of 25628046274992 is 29947264082652.

It is a super-3 number, since 3×25628046274992³ (a number of 41 digits) contains 333 as substring.

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, 1686159009 + ... + 1686174207.

It is an arithmetic number, because the mean of its divisors is an integer number (473520942720).

Almost surely, 2^{25628046274992} 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 25628046274992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37881675417600).

25628046274992 is an abundant number, since it is smaller than the sum of its proper divisors (50135304560208).

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

25628046274992 is a wasteful number, since it uses less digits than its factorization.

25628046274992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21491 (or 21485 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 25628046274992 in words is "twenty-five trillion, six hundred twenty-eight billion, forty-six million, two hundred seventy-four thousand, nine hundred ninety-two".