10112385504 has 192 divisors, whose sum is σ = 31064463360. Its totient is φ = 2852444160.

The previous prime is 10112385467. The next prime is 10112385527. The reversal of 10112385504 is 40558321101.

10112385504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 728194 + ... + 741950.

It is an arithmetic number, because the mean of its divisors is an integer number (161794080).

Almost surely, 2^10112385504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112385504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532231680).

10112385504 is an abundant number, since it is smaller than the sum of its proper divisors (20952077856).

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

10112385504 is a wasteful number, since it uses less digits than its factorization.

10112385504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13833 (or 13825 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 10112385504 in words is "ten billion, one hundred twelve million, three hundred eighty-five thousand, five hundred four".