5876317920 has 288 divisors, whose sum is σ = 21456441216. Its totient is φ = 1340416000.

The previous prime is 5876317883. The next prime is 5876317921. The reversal of 5876317920 is 297136785.

It is a super-2 number, since 2×5876317920² = 69062224593826252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5876317920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5876317921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523995 + ... + 1527845.

It is an arithmetic number, because the mean of its divisors is an integer number (74501532).

Almost surely, 2^5876317920 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 5876317920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728220608).

5876317920 is an abundant number, since it is smaller than the sum of its proper divisors (15580123296).

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

5876317920 is a wasteful number, since it uses less digits than its factorization.

5876317920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 5876317920 is about 76657.1452638304. The cubic root of 5876317920 is about 1804.5479560543.

The spelling of 5876317920 in words is "five billion, eight hundred seventy-six million, three hundred seventeen thousand, nine hundred twenty".