5004090000 has 900 divisors, whose sum is σ = 22117620096. Its totient is φ = 1033344000.

The previous prime is 5004089963. The next prime is 5004090023. The reversal of 5004090000 is 904005.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 106469977 + ... + 106470023.

Almost surely, 2^5004090000 is an apocalyptic number.

5004090000 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 5004090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11058810048).

5004090000 is an abundant number, since it is smaller than the sum of its proper divisors (17113530096).

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

5004090000 is a wasteful number, since it uses less digits than its factorization.

5004090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5004090000 is about 70739.5928741465. The cubic root of 5004090000 is about 1710.4420730441.

Adding to 5004090000 its reverse (904005), we get a palindrome (5004994005).

The spelling of 5004090000 in words is "five billion, four million, ninety thousand".