561712536000 has 896 divisors, whose sum is σ = 2569461073920. Its totient is φ = 116716032000.

The previous prime is 561712535971. The next prime is 561712536029. The reversal of 561712536000 is 635217165.

561712536000 is a `hidden beast` number, since 5 + 617 + 1 + 2 + 5 + 36 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (561712535971) and next prime (561712536029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16615114 + ... + 16648886.

Almost surely, 2^561712536000 is an apocalyptic number.

561712536000 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 561712536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284730536960).

561712536000 is an abundant number, since it is smaller than the sum of its proper divisors (2007748537920).

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

561712536000 is a wasteful number, since it uses less digits than its factorization.

561712536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33827 (or 33801 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 561712536000 in words is "five hundred sixty-one billion, seven hundred twelve million, five hundred thirty-six thousand".