561564057600 has 2304 divisors, whose sum is σ = 2650357032960. Its totient is φ = 114661785600.

The previous prime is 561564057599. The next prime is 561564057641. The reversal of 561564057600 is 6750465165.

561564057600 is a `hidden beast` number, since 5 + 6 + 15 + 64 + 0 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×561564057600² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18114969585 + ... + 18114969615.

Almost surely, 2^561564057600 is an apocalyptic number.

561564057600 is a gapful number since it is divisible by the number (50) 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 561564057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325178516480).

561564057600 is an abundant number, since it is smaller than the sum of its proper divisors (2088792975360).

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

561564057600 is an equidigital number, since it uses as much as digits as its factorization.

561564057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 561564057600 in words is "five hundred sixty-one billion, five hundred sixty-four million, fifty-seven thousand, six hundred".