5079487991760 has 1920 divisors, whose sum is σ = 23308373168640. Its totient is φ = 1004293914624.

The previous prime is 5079487991759. The next prime is 5079487991833. The reversal of 5079487991760 is 671997849705.

5079487991760 is a `hidden beast` number, since 5 + 0 + 79 + 487 + 9 + 9 + 1 + 76 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 9286083807 + ... + 9286084353.

It is an arithmetic number, because the mean of its divisors is an integer number (12139777692).

Almost surely, 2^{5079487991760} 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 5079487991760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654186584320).

5079487991760 is an abundant number, since it is smaller than the sum of its proper divisors (18228885176880).

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

5079487991760 is a wasteful number, since it uses less digits than its factorization.

5079487991760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 5079487991760 in words is "five trillion, seventy-nine billion, four hundred eighty-seven million, nine hundred ninety-one thousand, seven hundred sixty".