25279261056 has 512 divisors, whose sum is σ = 91914240000. Its totient is φ = 6678153216.

The previous prime is 25279261043. The next prime is 25279261067. The reversal of 25279261056 is 65016297252.

25279261056 is a `hidden beast` number, since 2 + 5 + 27 + 9 + 2 + 610 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19764225 + ... + 19765503.

It is an arithmetic number, because the mean of its divisors is an integer number (179520000).

Almost surely, 2^25279261056 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 25279261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45957120000).

25279261056 is an abundant number, since it is smaller than the sum of its proper divisors (66634978944).

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

25279261056 is a wasteful number, since it uses less digits than its factorization.

25279261056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 25279261056 in words is "twenty-five billion, two hundred seventy-nine million, two hundred sixty-one thousand, fifty-six".