25686164790 has 768 divisors, whose sum is σ = 90348410880. Its totient is φ = 4956733440.

The previous prime is 25686164789. The next prime is 25686164821. The reversal of 25686164790 is 9746168652.

25686164790 is a `hidden beast` number, since 2 + 568 + 6 + 1 + 6 + 4 + 79 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 153809287 + ... + 153809453.

It is an arithmetic number, because the mean of its divisors is an integer number (117641160).

Almost surely, 2^25686164790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25686164790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45174205440).

25686164790 is an abundant number, since it is smaller than the sum of its proper divisors (64662246090).

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

25686164790 is a wasteful number, since it uses less digits than its factorization.

25686164790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 25686164790 in words is "twenty-five billion, six hundred eighty-six million, one hundred sixty-four thousand, seven hundred ninety".