5004001800 has 336 divisors, whose sum is σ = 19939467840. Its totient is φ = 1143538560.

The previous prime is 5004001787. The next prime is 5004001817. The reversal of 5004001800 is 81004005.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1018149 + ... + 1023051.

Almost surely, 2^5004001800 is an apocalyptic number.

5004001800 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 5004001800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969733920).

5004001800 is an abundant number, since it is smaller than the sum of its proper divisors (14935466040).

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

5004001800 is a wasteful number, since it uses less digits than its factorization.

5004001800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5004001800 is about 70738.9694581424. The cubic root of 5004001800 is about 1710.4320238059.

Adding to 5004001800 its reverse (81004005), we get a palindrome (5085005805).

The spelling of 5004001800 in words is "five billion, four million, one thousand, eight hundred".