5109098400 has 864 divisors, whose sum is σ = 22374817920. Its totient is φ = 1070530560.

The previous prime is 5109098389. The next prime is 5109098419. The reversal of 5109098400 is 48909015.

It is a super-2 number, since 2×5109098400² = 52205772921765120000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57405556 + ... + 57405644.

It is an arithmetic number, because the mean of its divisors is an integer number (25896780).

Almost surely, 2^5109098400 is an apocalyptic number.

5109098400 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 5109098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11187408960).

5109098400 is an abundant number, since it is smaller than the sum of its proper divisors (17265719520).

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

5109098400 is a wasteful number, since it uses less digits than its factorization.

5109098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5109098400 is about 71477.9574414378. The cubic root of 5109098400 is about 1722.3236127305.

The spelling of 5109098400 in words is "five billion, one hundred nine million, ninety-eight thousand, four hundred".