561412088160 has 3072 divisors, whose sum is σ = 2668753059840. Its totient is φ = 95551488000.

The previous prime is 561412088137. The next prime is 561412088173. The reversal of 561412088160 is 61880214165.

It is a super-2 number, since 2×561412088160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 13692977740 + ... + 13692977780.

It is an arithmetic number, because the mean of its divisors is an integer number (868734720).

Almost surely, 2^561412088160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561412088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334376529920).

561412088160 is an abundant number, since it is smaller than the sum of its proper divisors (2107340971680).

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

561412088160 is a wasteful number, since it uses less digits than its factorization.

561412088160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 561412088160 in words is "five hundred sixty-one billion, four hundred twelve million, eighty-eight thousand, one hundred sixty".