5104598400 has 768 divisors, whose sum is σ = 21036153600. Its totient is φ = 1198080000.

The previous prime is 5104598371. The next prime is 5104598417. The reversal of 5104598400 is 48954015.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 38966335 + ... + 38966465.

It is an arithmetic number, because the mean of its divisors is an integer number (27390825).

Almost surely, 2^5104598400 is an apocalyptic number.

5104598400 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 5104598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10518076800).

5104598400 is an abundant number, since it is smaller than the sum of its proper divisors (15931555200).

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

5104598400 is a wasteful number, since it uses less digits than its factorization.

5104598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5104598400 is about 71446.4722712045. The cubic root of 5104598400 is about 1721.8178005336.

The spelling of 5104598400 in words is "five billion, one hundred four million, five hundred ninety-eight thousand, four hundred".