561575153018880 has 9216 divisors, whose sum is σ = 2854248955084800. Its totient is φ = 102851621683200.

The previous prime is 561575153018807. The next prime is 561575153018923. The reversal of 561575153018880 is 88810351575165.

561575153018880 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 7 + 5 + 1 + 530 + 18 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 11948407511017 + ... + 11948407511063.

It is an arithmetic number, because the mean of its divisors is an integer number (309705832800).

Almost surely, 2^{561575153018880} 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 561575153018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427124477542400).

561575153018880 is an abundant number, since it is smaller than the sum of its proper divisors (2292673802065920).

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

561575153018880 is a wasteful number, since it uses less digits than its factorization.

561575153018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 40320000, while the sum is 63.

The spelling of 561575153018880 in words is "five hundred sixty-one trillion, five hundred seventy-five billion, one hundred fifty-three million, eighteen thousand, eight hundred eighty".