5160195997440 has 576 divisors, whose sum is σ = 18432721359360. Its totient is φ = 1219472916480.

The previous prime is 5160195997433. The next prime is 5160195997441. The reversal of 5160195997440 is 447995910615.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160195997441) 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, 1033483584 + ... + 1033488576.

It is an arithmetic number, because the mean of its divisors is an integer number (32001252360).

Almost surely, 2^{5160195997440} 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 5160195997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216360679680).

5160195997440 is an abundant number, since it is smaller than the sum of its proper divisors (13272525361920).

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

5160195997440 is a wasteful number, since it uses less digits than its factorization.

5160195997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 60.

The spelling of 5160195997440 in words is "five trillion, one hundred sixty billion, one hundred ninety-five million, nine hundred ninety-seven thousand, four hundred forty".