5117779968 has 224 divisors, whose sum is σ = 15853501440. Its totient is φ = 1438187520.

The previous prime is 5117779967. The next prime is 5117779973. The reversal of 5117779968 is 8699777115.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (5117779967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12214063 + ... + 12214481.

It is an arithmetic number, because the mean of its divisors is an integer number (70774560).

Almost surely, 2^5117779968 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 5117779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926750720).

5117779968 is an abundant number, since it is smaller than the sum of its proper divisors (10735721472).

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

5117779968 is an equidigital number, since it uses as much as digits as its factorization.

5117779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 502 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 60.

The square root of 5117779968 is about 71538.6606528246. The cubic root of 5117779968 is about 1723.2986059104.

The spelling of 5117779968 in words is "five billion, one hundred seventeen million, seven hundred seventy-nine thousand, nine hundred sixty-eight".