5102116776960 has 704 divisors, whose sum is σ = 19371844829184. Its totient is φ = 1121535590400.

The previous prime is 5102116776949. The next prime is 5102116776961. The reversal of 5102116776960 is 696776112015.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5102116776961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543293865 + ... + 543303255.

Almost surely, 2^{5102116776960} 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 5102116776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9685922414592).

5102116776960 is an abundant number, since it is smaller than the sum of its proper divisors (14269728052224).

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

5102116776960 is a wasteful number, since it uses less digits than its factorization.

5102116776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9620 (or 9602 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 5102116776960 in words is "five trillion, one hundred two billion, one hundred sixteen million, seven hundred seventy-six thousand, nine hundred sixty".