561920519160 has 2560 divisors, whose sum is σ = 2742699294720. Its totient is φ = 99769190400.

The previous prime is 561920519123. The next prime is 561920519239. The reversal of 561920519160 is 61915029165.

It is a happy number.

561920519160 is a `hidden beast` number, since 5 + 619 + 2 + 0 + 5 + 19 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 18126468345 + ... + 18126468375.

It is an arithmetic number, because the mean of its divisors is an integer number (1071366912).

Almost surely, 2^561920519160 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 561920519160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371349647360).

561920519160 is an abundant number, since it is smaller than the sum of its proper divisors (2180778775560).

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

561920519160 is a wasteful number, since it uses less digits than its factorization.

561920519160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

It can be divided in two parts, 5619205 and 19160, that added together give a palindrome (5638365).

The spelling of 561920519160 in words is "five hundred sixty-one billion, nine hundred twenty million, five hundred nineteen thousand, one hundred sixty".