10187827125504 has 108 divisors (see below), whose sum is σ = 31541330971584. Its totient is φ = 2910807739392.

The previous prime is 10187827125451. The next prime is 10187827125517. The reversal of 10187827125504 is 40552172878101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135323592 + ... + 135398855.

It is an arithmetic number, because the mean of its divisors is an integer number (292049360848).

Almost surely, 2^{10187827125504} is an apocalyptic number.

10187827125504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10187827125504 is an abundant number, since it is smaller than the sum of its proper divisors (21353503846080).

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

10187827125504 is an equidigital number, since it uses as much as digits as its factorization.

10187827125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270722480 (or 270722459 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 51.

The spelling of 10187827125504 in words is "ten trillion, one hundred eighty-seven billion, eight hundred twenty-seven million, one hundred twenty-five thousand, five hundred four".