561352883088000 has 256 divisors, whose sum is σ = 1862126463600000. Its totient is φ = 149594220339200.

The previous prime is 561352883087993. The next prime is 561352883088047. The reversal of 561352883088000 is 880388253165.

It is a happy 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, 68051116 + ... + 75852884.

Almost surely, 2^{561352883088000} is an apocalyptic number.

561352883088000 is a gapful number since it is divisible by the number (50) 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 561352883088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931063231800000).

561352883088000 is an abundant number, since it is smaller than the sum of its proper divisors (1300773580512000).

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

561352883088000 is a wasteful number, since it uses less digits than its factorization.

561352883088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803300 (or 7803278 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 561352883088000 in words is "five hundred sixty-one trillion, three hundred fifty-two billion, eight hundred eighty-three million, eighty-eight thousand".