561879452160 has 1920 divisors, whose sum is σ = 2373719572224. Its totient is φ = 126127964160.

The previous prime is 561879452153. The next prime is 561879452179. The reversal of 561879452160 is 61254978165.

It is a happy number.

561879452160 is a `hidden beast` number, since 5 + 6 + 187 + 9 + 452 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 561879452097 and 561879452106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8386260447 + ... + 8386260513.

Almost surely, 2^561879452160 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 561879452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186859786112).

561879452160 is an abundant number, since it is smaller than the sum of its proper divisors (1811840120064).

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

561879452160 is a wasteful number, since it uses less digits than its factorization.

561879452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 561879452160 in words is "five hundred sixty-one billion, eight hundred seventy-nine million, four hundred fifty-two thousand, one hundred sixty".