5219789506560 has 480 divisors, whose sum is σ = 18791727154200. Its totient is φ = 1385815080960.

The previous prime is 5219789506513. The next prime is 5219789506567. The reversal of 5219789506560 is 656059879125.

5219789506560 is a `hidden beast` number, since 5 + 2 + 1 + 9 + 78 + 9 + 506 + 56 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5175224607744 + 44564898816 = 2274912^2 + 211104^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (5219789506567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 189928020 + ... + 189955500.

Almost surely, 2^{5219789506560} 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 5219789506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395863577100).

5219789506560 is an abundant number, since it is smaller than the sum of its proper divisors (13571937647640).

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

5219789506560 is a wasteful number, since it uses less digits than its factorization.

5219789506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27749 (or 27720 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 5219789506560 in words is "five trillion, two hundred nineteen billion, seven hundred eighty-nine million, five hundred six thousand, five hundred sixty".