5128797199680 has 896 divisors, whose sum is σ = 23745139200000. Its totient is φ = 1009630863360.

The previous prime is 5128797199633. The next prime is 5128797199697. The reversal of 5128797199680 is 869917978215.

It is a happy number.

5128797199680 is a `hidden beast` number, since 512 + 8 + 7 + 9 + 7 + 19 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5128797199599 and 5128797199608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12437446 + ... + 12843194.

Almost surely, 2^{5128797199680} 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 5128797199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11872569600000).

5128797199680 is an abundant number, since it is smaller than the sum of its proper divisors (18616342000320).

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

5128797199680 is a wasteful number, since it uses less digits than its factorization.

5128797199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405812 (or 405796 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 72.

The spelling of 5128797199680 in words is "five trillion, one hundred twenty-eight billion, seven hundred ninety-seven million, one hundred ninety-nine thousand, six hundred eighty".