5118627289776 has 2560 divisors, whose sum is σ = 20734672896000. Its totient is φ = 1065160212480.

The previous prime is 5118627289751. The next prime is 5118627289781. The reversal of 5118627289776 is 6779827268115.

Its product of digits (142248960) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 5118627289776.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 40304151825 + ... + 40304151951.

It is an arithmetic number, because the mean of its divisors is an integer number (8099481600).

Almost surely, 2^{5118627289776} is an apocalyptic number.

5118627289776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5118627289776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10367336448000).

5118627289776 is an abundant number, since it is smaller than the sum of its proper divisors (15616045606224).

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

5118627289776 is a wasteful number, since it uses less digits than its factorization.

5118627289776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 69.

The spelling of 5118627289776 in words is "five trillion, one hundred eighteen billion, six hundred twenty-seven million, two hundred eighty-nine thousand, seven hundred seventy-six".