25056963792 has 450 divisors, whose sum is σ = 89117750898. Its totient is φ = 6776130816.

The previous prime is 25056963751. The next prime is 25056963797. The reversal of 25056963792 is 29736965052.

25056963792 is a `hidden beast` number, since 2 + 5 + 0 + 569 + 6 + 3 + 79 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24965264016 + 91699776 = 158004^2 + 9576^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25056963797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 22924398 + ... + 22925490.

Almost surely, 2^25056963792 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 25056963792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44558875449).

25056963792 is an abundant number, since it is smaller than the sum of its proper divisors (64060787106).

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

25056963792 is a wasteful number, since it uses less digits than its factorization.

25056963792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 25056963792 in words is "twenty-five billion, fifty-six million, nine hundred sixty-three thousand, seven hundred ninety-two".