5104893400 has 96 divisors (see below), whose sum is σ = 12515270400. Its totient is φ = 1931126400.

The previous prime is 5104893389. The next prime is 5104893407. The reversal of 5104893400 is 43984015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5104893407) 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, 3917149 + ... + 3918451.

It is an arithmetic number, because the mean of its divisors is an integer number (130367400).

Almost surely, 2^5104893400 is an apocalyptic number.

5104893400 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 5104893400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257635200).

5104893400 is an abundant number, since it is smaller than the sum of its proper divisors (7410377000).

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

5104893400 is a wasteful number, since it uses less digits than its factorization.

5104893400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 5104893400 is about 71448.5367239946. The cubic root of 5104893400 is about 1721.8509684361.

The spelling of 5104893400 in words is "five billion, one hundred four million, eight hundred ninety-three thousand, four hundred".