10156384048320 has 224 divisors, whose sum is σ = 35844006340800. Its totient is φ = 2707269967872.

The previous prime is 10156384048201. The next prime is 10156384048403. The reversal of 10156384048320 is 2384048365101.

10156384048320 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 638 + 4 + 0 + 4 + 8 + 3 + 2 + 0 = 666.

10156384048320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21163996 + ... + 21638564.

It is an arithmetic number, because the mean of its divisors is an integer number (160017885450).

Almost surely, 2^{10156384048320} is an apocalyptic number.

10156384048320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10156384048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922003170400).

10156384048320 is an abundant number, since it is smaller than the sum of its proper divisors (25687622292480).

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

10156384048320 is a wasteful number, since it uses less digits than its factorization.

10156384048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477072 (or 477056 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10156384048320 in words is "ten trillion, one hundred fifty-six billion, three hundred eighty-four million, forty-eight thousand, three hundred twenty".