5379844800 has 168 divisors, whose sum is σ = 19255142592. Its totient is φ = 1304192000.

The previous prime is 5379844783. The next prime is 5379844819. The reversal of 5379844800 is 84489735.

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 5379844800.

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 23 ways as a sum of consecutive naturals, for example, 1855 + ... + 103745.

It is an arithmetic number, because the mean of its divisors is an integer number (114613944).

Almost surely, 2^5379844800 is an apocalyptic number.

5379844800 is a gapful number since it is divisible by the number (50) 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 5379844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9627571296).

5379844800 is an abundant number, since it is smaller than the sum of its proper divisors (13875297792).

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

5379844800 is a wasteful number, since it uses less digits than its factorization.

5379844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101927 (or 101912 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 5379844800 is about 73347.4253126857. The cubic root of 5379844800 is about 1752.2251748697.

The spelling of 5379844800 in words is "five billion, three hundred seventy-nine million, eight hundred forty-four thousand, eight hundred".