5004319104 has 256 divisors, whose sum is σ = 16465248000. Its totient is φ = 1487020032.

The previous prime is 5004319063. The next prime is 5004319147. The reversal of 5004319104 is 4019134005.

5004319104 is a `hidden beast` number, since 500 + 43 + 19 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1114047 + ... + 1118529.

It is an arithmetic number, because the mean of its divisors is an integer number (64317375).

Almost surely, 2^5004319104 is an apocalyptic number.

5004319104 is a gapful number since it is divisible by the number (54) 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 5004319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232624000).

5004319104 is an abundant number, since it is smaller than the sum of its proper divisors (11460928896).

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

5004319104 is a wasteful number, since it uses less digits than its factorization.

5004319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5004319104 is about 70741.2122033543. The cubic root of 5004319104 is about 1710.4681759014.

The spelling of 5004319104 in words is "five billion, four million, three hundred nineteen thousand, one hundred four".