560813616090 has 320 divisors, whose sum is σ = 1953644394240. Its totient is φ = 112097571840.

The previous prime is 560813615977. The next prime is 560813616091. The reversal of 560813616090 is 90616318065.

560813616090 is a `hidden beast` number, since 5 + 6 + 0 + 8 + 1 + 36 + 1 + 609 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (560813616091) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1200270 + ... + 1600710.

It is an arithmetic number, because the mean of its divisors is an integer number (6105138732).

Almost surely, 2^560813616090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560813616090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976822197120).

560813616090 is an abundant number, since it is smaller than the sum of its proper divisors (1392830778150).

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

560813616090 is a wasteful number, since it uses less digits than its factorization.

560813616090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400499 (or 400490 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 560813616090 in words is "five hundred sixty billion, eight hundred thirteen million, six hundred sixteen thousand, ninety".