5166517597824 has 384 divisors, whose sum is σ = 16403670763200. Its totient is φ = 1433683722240.

The previous prime is 5166517597799. The next prime is 5166517597847. The reversal of 5166517597824 is 4287957156615.

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

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29137467 + ... + 29314245.

Almost surely, 2^{5166517597824} 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 5166517597824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201835381600).

5166517597824 is an abundant number, since it is smaller than the sum of its proper divisors (11237153165376).

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

5166517597824 is a wasteful number, since it uses less digits than its factorization.

5166517597824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176872 (or 176849 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 66.

The spelling of 5166517597824 in words is "five trillion, one hundred sixty-six billion, five hundred seventeen million, five hundred ninety-seven thousand, eight hundred twenty-four".