5104679400 has 192 divisors, whose sum is σ = 17957779200. Its totient is φ = 1332218880.

The previous prime is 5104679381. The next prime is 5104679401. The reversal of 5104679400 is 49764015.

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

It is not an unprimeable number, because it can be changed into a prime (5104679401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243744 + ... + 263856.

It is an arithmetic number, because the mean of its divisors is an integer number (93530100).

Almost surely, 2^5104679400 is an apocalyptic number.

5104679400 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 5104679400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8978889600).

5104679400 is an abundant number, since it is smaller than the sum of its proper divisors (12853099800).

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

5104679400 is a wasteful number, since it uses less digits than its factorization.

5104679400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20185 (or 20170 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5104679400 is about 71447.0391268945. The cubic root of 5104679400 is about 1721.8269077798.

The spelling of 5104679400 in words is "five billion, one hundred four million, six hundred seventy-nine thousand, four hundred".