5120935495680 has 384 divisors, whose sum is σ = 16707620442240. Its totient is φ = 1338790379520.

The previous prime is 5120935495679. The next prime is 5120935495729. The reversal of 5120935495680 is 865945390215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 5120935495680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318834850 + ... + 318850910.

It is an arithmetic number, because the mean of its divisors is an integer number (43509428235).

Almost surely, 2^{5120935495680} 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 5120935495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353810221120).

5120935495680 is an abundant number, since it is smaller than the sum of its proper divisors (11586684946560).

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

5120935495680 is a wasteful number, since it uses less digits than its factorization.

5120935495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16295 (or 16275 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 57.

The spelling of 5120935495680 in words is "five trillion, one hundred twenty billion, nine hundred thirty-five million, four hundred ninety-five thousand, six hundred eighty".