5109588000 has 1152 divisors, whose sum is σ = 22587102720. Its totient is φ = 1115136000.

The previous prime is 5109587999. The next prime is 5109588037. The reversal of 5109588000 is 8859015.

It is a super-2 number, since 2×5109588000² = 52215779059488000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 222155989 + ... + 222156011.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860).

Almost surely, 2^5109588000 is an apocalyptic number.

5109588000 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 5109588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293551360).

5109588000 is an abundant number, since it is smaller than the sum of its proper divisors (17477514720).

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

5109588000 is a wasteful number, since it uses less digits than its factorization.

5109588000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 5109588000 is about 71481.3821914490. The cubic root of 5109588000 is about 1722.3786271799.

The spelling of 5109588000 in words is "five billion, one hundred nine million, five hundred eighty-eight thousand".