561617910000000 has 3840 divisors, whose sum is σ = 2480913750407040. Its totient is φ = 121701888000000.

The previous prime is 561617909999989. The next prime is 561617910000047. The reversal of 561617910000000 is 19716165.

It is a happy number.

561617910000000 is a `hidden beast` number, since 561 + 6 + 1 + 7 + 91 + 0 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 561617910000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4970069999944 + ... + 4970070000056.

Almost surely, 2^{561617910000000} is an apocalyptic number.

561617910000000 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 561617910000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240456875203520).

561617910000000 is an abundant number, since it is smaller than the sum of its proper divisors (1919295840407040).

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

561617910000000 is an frugal number, since it uses more digits than its factorization.

561617910000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

Adding to 561617910000000 its reverse (19716165), we get a palindrome (561617929716165).

The spelling of 561617910000000 in words is "five hundred sixty-one trillion, six hundred seventeen billion, nine hundred ten million", and thus it is an aban number.