5579249800 has 96 divisors (see below), whose sum is σ = 13541990400. Its totient is φ = 2135232000.

The previous prime is 5579249743. The next prime is 5579249801. The reversal of 5579249800 is 89429755.

It is a super-2 number, since 2×5579249800² = 62256056661600080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5579249801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546745 + ... + 556855.

It is an arithmetic number, because the mean of its divisors is an integer number (141062400).

Almost surely, 2^5579249800 is an apocalyptic number.

5579249800 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 5579249800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770995200).

5579249800 is an abundant number, since it is smaller than the sum of its proper divisors (7962740600).

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

5579249800 is a wasteful number, since it uses less digits than its factorization.

5579249800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10247 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The square root of 5579249800 is about 74694.3759596397. The cubic root of 5579249800 is about 1773.6119333828.

The spelling of 5579249800 in words is "five billion, five hundred seventy-nine million, two hundred forty-nine thousand, eight hundred".