10568366161920 has 2160 divisors, whose sum is σ = 46863367024320. Its totient is φ = 2264018190336.

The previous prime is 10568366161907. The next prime is 10568366161931. The reversal of 10568366161920 is 2916166386501.

10568366161920 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 8 + 3 + 6 + 616 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×10568366161920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44219105161 + ... + 44219105399.

It is an arithmetic number, because the mean of its divisors is an integer number (21696003252).

Almost surely, 2^{10568366161920} is an apocalyptic number.

10568366161920 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 10568366161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23431683512160).

10568366161920 is an abundant number, since it is smaller than the sum of its proper divisors (36295000862400).

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

10568366161920 is an frugal number, since it uses more digits than its factorization.

10568366161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 10568366161920 in words is "ten trillion, five hundred sixty-eight billion, three hundred sixty-six million, one hundred sixty-one thousand, nine hundred twenty".