25764923235051 has 384 divisors, whose sum is σ = 53985492126720. Its totient is φ = 11928707481600.

The previous prime is 25764923235049. The next prime is 25764923235097. The reversal of 25764923235051 is 15053232946752.

25764923235051 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 4 + 9 + 232 + 350 + 51 = 666.

It is not a de Polignac number, because 25764923235051 - 2¹ = 25764923235049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25764923235001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 916985035 + ... + 917013131.

It is an arithmetic number, because the mean of its divisors is an integer number (140587219080).

Almost surely, 2^{25764923235051} is an apocalyptic number.

25764923235051 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

25764923235051 is an abundant number, since it is smaller than the sum of its proper divisors (28220568891669).

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

25764923235051 is a wasteful number, since it uses less digits than its factorization.

25764923235051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28312 (or 28299 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 25764923235051 in words is "twenty-five trillion, seven hundred sixty-four billion, nine hundred twenty-three million, two hundred thirty-five thousand, fifty-one".