25867729125 has 384 divisors, whose sum is σ = 61004316672. Its totient is φ = 10264320000.

The previous prime is 25867729099. The next prime is 25867729183. The reversal of 25867729125 is 52192776852.

25867729125 = 392² + 393² + ... + 4266².

It is not a de Polignac number, because 25867729125 - 2⁵ = 25867729093 is a prime.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 95452740 + ... + 95453010.

It is an arithmetic number, because the mean of its divisors is an integer number (158865408).

Almost surely, 2^25867729125 is an apocalyptic number.

25867729125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25867729125 is an abundant number, since it is smaller than the sum of its proper divisors (35136587547).

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

25867729125 is a wasteful number, since it uses less digits than its factorization.

25867729125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 357 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 25867729125 in words is "twenty-five billion, eight hundred sixty-seven million, seven hundred twenty-nine thousand, one hundred twenty-five".