10177113984 has 32 divisors (see below), whose sum is σ = 27032960040. Its totient is φ = 3392371200.

The previous prime is 10177113979. The next prime is 10177114009. The reversal of 10177113984 is 48931177101.

10177113984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 13251067 + ... + 13251834.

Almost surely, 2^10177113984 is an apocalyptic number.

It is an amenable number.

10177113984 is an abundant number, since it is smaller than the sum of its proper divisors (16855846056).

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

10177113984 is an equidigital number, since it uses as much as digits as its factorization.

10177113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26502918 (or 26502906 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 42.

The spelling of 10177113984 in words is "ten billion, one hundred seventy-seven million, one hundred thirteen thousand, nine hundred eighty-four".