15920100564480 has 800 divisors, whose sum is σ = 65971206813600. Its totient is φ = 3638842195968.

The previous prime is 15920100564457. The next prime is 15920100564497. The reversal of 15920100564480 is 8446500102951.

15920100564480 is a `hidden beast` number, since 1 + 5 + 9 + 2 + 0 + 1 + 0 + 0 + 564 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165909156 + ... + 166005084.

It is an arithmetic number, because the mean of its divisors is an integer number (82464008517).

Almost surely, 2^{15920100564480} is an apocalyptic number.

15920100564480 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 15920100564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32985603406800).

15920100564480 is an abundant number, since it is smaller than the sum of its proper divisors (50051106249120).

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

15920100564480 is an frugal number, since it uses more digits than its factorization.

15920100564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95989 (or 95946 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 15920100564480 in words is "fifteen trillion, nine hundred twenty billion, one hundred million, five hundred sixty-four thousand, four hundred eighty".