819112012560 has 120 divisors (see below), whose sum is σ = 2751141545880. Its totient is φ = 218406813696.

The previous prime is 819112012517. The next prime is 819112012637. The reversal of 819112012560 is 65210211918.

819112012560 is a `hidden beast` number, since 8 + 1 + 91 + 1 + 2 + 0 + 1 + 2 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6431398416 + 812680614144 = 80196^2 + 901488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7410822 + ... + 7520538.

It is an arithmetic number, because the mean of its divisors is an integer number (22926179549).

Almost surely, 2^819112012560 is an apocalyptic number.

819112012560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

819112012560 is an abundant number, since it is smaller than the sum of its proper divisors (1932029533320).

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

819112012560 is a wasteful number, since it uses less digits than its factorization.

819112012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120105 (or 120096 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 819112012560 in words is "eight hundred nineteen billion, one hundred twelve million, twelve thousand, five hundred sixty".