561538536068160 has 2688 divisors, whose sum is σ = 2406045358080000. Its totient is φ = 124551466131456.

The previous prime is 561538536068143. The next prime is 561538536068177. The reversal of 561538536068160 is 61860635835165.

It is a happy number.

561538536068160 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 3 + 8 + 5 + 3 + 606 + 8 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (561538536068143) and next prime (561538536068177).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 124316698222 + ... + 124316702738.

It is an arithmetic number, because the mean of its divisors is an integer number (895106160000).

Almost surely, 2^{561538536068160} 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 561538536068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203022679040000).

561538536068160 is an abundant number, since it is smaller than the sum of its proper divisors (1844506822011840).

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

561538536068160 is an equidigital number, since it uses as much as digits as its factorization.

561538536068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 561538536068160 in words is "five hundred sixty-one trillion, five hundred thirty-eight billion, five hundred thirty-six million, sixty-eight thousand, one hundred sixty".