3116563763820 has 576 divisors, whose sum is σ = 10467735183360. Its totient is φ = 687240474624.

The previous prime is 3116563763773. The next prime is 3116563763837. The reversal of 3116563763820 is 283673656113.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 576391557 + ... + 576396963.

It is an arithmetic number, because the mean of its divisors is an integer number (18173151360).

Almost surely, 2^{3116563763820} is an apocalyptic number.

3116563763820 is a gapful number since it is divisible by the number (30) 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 3116563763820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233867591680).

3116563763820 is an abundant number, since it is smaller than the sum of its proper divisors (7351171419540).

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

3116563763820 is a wasteful number, since it uses less digits than its factorization.

3116563763820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5582 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 3116563763820 in words is "three trillion, one hundred sixteen billion, five hundred sixty-three million, seven hundred sixty-three thousand, eight hundred twenty".