561116372544 has 1120 divisors, whose sum is σ = 2133315292416. Its totient is φ = 141893959680.

The previous prime is 561116372543. The next prime is 561116372567. The reversal of 561116372544 is 445273611165.

It is a happy number.

561116372544 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 1 + 637 + 2 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 561116372544.

It is not an unprimeable number, because it can be changed into a prime (561116372543) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1295880552 + ... + 1295880984.

Almost surely, 2^561116372544 is an apocalyptic number.

561116372544 is a gapful number since it is divisible by the number (54) 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 561116372544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066657646208).

561116372544 is an abundant number, since it is smaller than the sum of its proper divisors (1572198919872).

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

561116372544 is a wasteful number, since it uses less digits than its factorization.

561116372544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 566 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 561116372544 in words is "five hundred sixty-one billion, one hundred sixteen million, three hundred seventy-two thousand, five hundred forty-four".