5117920972416 has 480 divisors, whose sum is σ = 18759757925700. Its totient is φ = 1376245334016.

The previous prime is 5117920972327. The next prime is 5117920972421. The reversal of 5117920972416 is 6142790297115.

5117920972416 is a `hidden beast` number, since 5 + 1 + 17 + 9 + 209 + 7 + 2 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4751528040000 + 366392932416 = 2179800^2 + 605304^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8340250 + ... + 8932838.

Almost surely, 2^{5117920972416} is an apocalyptic number.

5117920972416 is a gapful number since it is divisible by the number (56) 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 5117920972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9379878962850).

5117920972416 is an abundant number, since it is smaller than the sum of its proper divisors (13641836953284).

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

5117920972416 is a wasteful number, since it uses less digits than its factorization.

5117920972416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592646 (or 592618 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 5117920972416 in words is "five trillion, one hundred seventeen billion, nine hundred twenty million, nine hundred seventy-two thousand, four hundred sixteen".