561699048960 has 2240 divisors, whose sum is σ = 2541843025920. Its totient is φ = 116095057920.

The previous prime is 561699048899. The next prime is 561699048961. The reversal of 561699048960 is 69840996165.

561699048960 is a `hidden beast` number, since 5 + 6 + 1 + 6 + 9 + 90 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561699048961) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7694507484 + ... + 7694507556.

Almost surely, 2^561699048960 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 561699048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270921512960).

561699048960 is an abundant number, since it is smaller than the sum of its proper divisors (1980143976960).

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

561699048960 is an equidigital number, since it uses as much as digits as its factorization.

561699048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 561699048960 in words is "five hundred sixty-one billion, six hundred ninety-nine million, forty-eight thousand, nine hundred sixty".