561132235560564 has 48 divisors (see below), whose sum is σ = 1466242295347200. Its totient is φ = 185571290495808.

The previous prime is 561132235560527. The next prime is 561132235560587. The reversal of 561132235560564 is 465065532231165.

561132235560564 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 3 + 2 + 23 + 5 + 5 + 605 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 561132235560564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20455375449 + ... + 20455402880.

It is an arithmetic number, because the mean of its divisors is an integer number (30546714486400).

Almost surely, 2^{561132235560564} is an apocalyptic number.

561132235560564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

561132235560564 is an abundant number, since it is smaller than the sum of its proper divisors (905110059786636).

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

561132235560564 is a wasteful number, since it uses less digits than its factorization.

561132235560564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40910778469 (or 40910778461 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 54.

The spelling of 561132235560564 in words is "five hundred sixty-one trillion, one hundred thirty-two billion, two hundred thirty-five million, five hundred sixty thousand, five hundred sixty-four".