5179050085968 has 480 divisors, whose sum is σ = 16911267609600. Its totient is φ = 1463016038400.

The previous prime is 5179050085961. The next prime is 5179050086053. The reversal of 5179050085968 is 8695800509715.

5179050085968 is a `hidden beast` number, since 5 + 1 + 79 + 0 + 500 + 8 + 59 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5179050085961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1254308928 + ... + 1254313056.

It is an arithmetic number, because the mean of its divisors is an integer number (35231807520).

Almost surely, 2^{5179050085968} 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 5179050085968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8455633804800).

5179050085968 is an abundant number, since it is smaller than the sum of its proper divisors (11732217523632).

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

5179050085968 is a wasteful number, since it uses less digits than its factorization.

5179050085968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 5179050085968 in words is "five trillion, one hundred seventy-nine billion, fifty million, eighty-five thousand, nine hundred sixty-eight".