5079767938560 has 960 divisors, whose sum is σ = 21032264563200. Its totient is φ = 1158735642624.

The previous prime is 5079767938543. The next prime is 5079767938603. The reversal of 5079767938560 is 658397679705.

5079767938560 is a `hidden beast` number, since 50 + 7 + 9 + 7 + 6 + 7 + 9 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5079767938560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2096477509 + ... + 2096479931.

It is an arithmetic number, because the mean of its divisors is an integer number (21908608920).

Almost surely, 2^{5079767938560} 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 5079767938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10516132281600).

5079767938560 is an abundant number, since it is smaller than the sum of its proper divisors (15952496624640).

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

5079767938560 is a wasteful number, since it uses less digits than its factorization.

5079767938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 5079767938560 in words is "five trillion, seventy-nine billion, seven hundred sixty-seven million, nine hundred thirty-eight thousand, five hundred sixty".