5199915973824 has 1344 divisors, whose sum is σ = 19307031744000. Its totient is φ = 1364116930560.

The previous prime is 5199915973801. The next prime is 5199915973849. The reversal of 5199915973824 is 4283795199915.

5199915973824 is a `hidden beast` number, since 5 + 1 + 9 + 9 + 9 + 1 + 597 + 3 + 8 + 24 = 666.

It is a super-2 number, since 2×5199915973824² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4605770892 + ... + 4605772020.

It is an arithmetic number, because the mean of its divisors is an integer number (14365351000).

Almost surely, 2^{5199915973824} is an apocalyptic number.

5199915973824 is a gapful number since it is divisible by the number (54) 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 5199915973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653515872000).

5199915973824 is an abundant number, since it is smaller than the sum of its proper divisors (14107115770176).

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

5199915973824 is a wasteful number, since it uses less digits than its factorization.

5199915973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1286 counting only the distinct ones).

The product of its digits is 220449600, while the sum is 72.

The spelling of 5199915973824 in words is "five trillion, one hundred ninety-nine billion, nine hundred fifteen million, nine hundred seventy-three thousand, eight hundred twenty-four".