5307993600 has 960 divisors, whose sum is σ = 22731878400. Its totient is φ = 1083801600.

The previous prime is 5307993599. The next prime is 5307993611. The reversal of 5307993600 is 63997035.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×5307993600³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171225585 + ... + 171225615.

It is an arithmetic number, because the mean of its divisors is an integer number (23679040).

Almost surely, 2^5307993600 is an apocalyptic number.

5307993600 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 5307993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11365939200).

5307993600 is an abundant number, since it is smaller than the sum of its proper divisors (17423884800).

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

5307993600 is a wasteful number, since it uses less digits than its factorization.

5307993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The square root of 5307993600 is about 72855.9784780906. The cubic root of 5307993600 is about 1744.3894986172.

The spelling of 5307993600 in words is "five billion, three hundred seven million, nine hundred ninety-three thousand, six hundred".