5117377824 has 576 divisors, whose sum is σ = 17752670208. Its totient is φ = 1437004800.

The previous prime is 5117377817. The next prime is 5117377831. The reversal of 5117377824 is 4287737115.

It is an interprime number because it is at equal distance from previous prime (5117377817) and next prime (5117377831).

It is a self number, because there is not a number n which added to its sum of digits gives 5117377824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72075709 + ... + 72075779.

It is an arithmetic number, because the mean of its divisors is an integer number (30820608).

Almost surely, 2^5117377824 is an apocalyptic number.

5117377824 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 5117377824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8876335104).

5117377824 is an abundant number, since it is smaller than the sum of its proper divisors (12635292384).

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

5117377824 is a wasteful number, since it uses less digits than its factorization.

5117377824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 5117377824 is about 71535.8499215603. The cubic root of 5117377824 is about 1723.2534670447.

The spelling of 5117377824 in words is "five billion, one hundred seventeen million, three hundred seventy-seven thousand, eight hundred twenty-four".