561515623680 has 288 divisors, whose sum is σ = 1958079070080. Its totient is φ = 136006205440.

The previous prime is 561515623673. The next prime is 561515623703. The reversal of 561515623680 is 86326515165.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54442204 + ... + 54452516.

It is an arithmetic number, because the mean of its divisors is an integer number (6798885660).

Almost surely, 2^561515623680 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 561515623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979039535040).

561515623680 is an abundant number, since it is smaller than the sum of its proper divisors (1396563446400).

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

561515623680 is a wasteful number, since it uses less digits than its factorization.

561515623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11637 (or 11623 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 561515623680 in words is "five hundred sixty-one billion, five hundred fifteen million, six hundred twenty-three thousand, six hundred eighty".