561652346880 has 312 divisors, whose sum is σ = 1951133157792. Its totient is φ = 149442527232.

The previous prime is 561652346873. The next prime is 561652346881. The reversal of 561652346880 is 88643256165.

561652346880 is a `hidden beast` number, since 56 + 1 + 6 + 52 + 3 + 468 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (561652346881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89760712 + ... + 89766968.

It is an arithmetic number, because the mean of its divisors is an integer number (6253631916).

Almost surely, 2^561652346880 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 561652346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975566578896).

561652346880 is an abundant number, since it is smaller than the sum of its proper divisors (1389480810912).

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

561652346880 is a wasteful number, since it uses less digits than its factorization.

561652346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6779 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 561652346880 in words is "five hundred sixty-one billion, six hundred fifty-two million, three hundred forty-six thousand, eight hundred eighty".