10158975983520 has 2304 divisors, whose sum is σ = 47368629342720. Its totient is φ = 2008587829248.

The previous prime is 10158975983491. The next prime is 10158975983543. The reversal of 10158975983520 is 2538957985101.

10158975983520 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 8 + 9 + 7 + 598 + 35 + 2 + 0 = 666.

10158975983520 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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18572167887 + ... + 18572168433.

It is an arithmetic number, because the mean of its divisors is an integer number (20559300930).

Almost surely, 2^{10158975983520} is an apocalyptic number.

10158975983520 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 10158975983520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23684314671360).

10158975983520 is an abundant number, since it is smaller than the sum of its proper divisors (37209653359200).

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

10158975983520 is a wasteful number, since it uses less digits than its factorization.

10158975983520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 10158975983520 in words is "ten trillion, one hundred fifty-eight billion, nine hundred seventy-five million, nine hundred eighty-three thousand, five hundred twenty".