561578109765120 has 1920 divisors, whose sum is σ = 2329498222571520. Its totient is φ = 127006918410240.

The previous prime is 561578109765041. The next prime is 561578109765131. The reversal of 561578109765120 is 21567901875165.

It is a happy number.

561578109765120 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 7 + 8 + 109 + 7 + 6 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×561578109765120² (a number of 30 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 200348949639 + ... + 200348952441.

It is an arithmetic number, because the mean of its divisors is an integer number (1213280324256).

Almost surely, 2^{561578109765120} 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 561578109765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164749111285760).

561578109765120 is an abundant number, since it is smaller than the sum of its proper divisors (1767920112806400).

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

561578109765120 is a wasteful number, since it uses less digits than its factorization.

561578109765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 63.

The spelling of 561578109765120 in words is "five hundred sixty-one trillion, five hundred seventy-eight billion, one hundred nine million, seven hundred sixty-five thousand, one hundred twenty".