5107488000 has 288 divisors, whose sum is σ = 17195697792. Its totient is φ = 1343488000.

The previous prime is 5107487993. The next prime is 5107488011. The reversal of 5107488000 is 8847015.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7967680 + ... + 7968320.

It is an arithmetic number, because the mean of its divisors is an integer number (59707284).

Almost surely, 2^5107488000 is an apocalyptic number.

5107488000 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 5107488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8597848896).

5107488000 is an abundant number, since it is smaller than the sum of its proper divisors (12088209792).

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

5107488000 is an equidigital number, since it uses as much as digits as its factorization.

5107488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 5107488000 is about 71466.6915422842. The cubic root of 5107488000 is about 1722.1426335441.

The spelling of 5107488000 in words is "five billion, one hundred seven million, four hundred eighty-eight thousand".