5180904000 has 336 divisors, whose sum is σ = 18939638016. Its totient is φ = 1351296000.

The previous prime is 5180903989. The next prime is 5180904011. The reversal of 5180904000 is 4090815.

It is an interprime number because it is at equal distance from previous prime (5180903989) and next prime (5180904011).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3383235 + ... + 3384765.

Almost surely, 2^5180904000 is an apocalyptic number.

5180904000 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 5180904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469819008).

5180904000 is an abundant number, since it is smaller than the sum of its proper divisors (13758734016).

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

5180904000 is a wasteful number, since it uses less digits than its factorization.

5180904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5180904000 is about 71978.4967889716. The cubic root of 5180904000 is about 1730.3548783603.

Adding to 5180904000 its reverse (4090815), we get a palindrome (5184994815).

The spelling of 5180904000 in words is "five billion, one hundred eighty million, nine hundred four thousand".