5331118800 has 240 divisors, whose sum is σ = 20544796160. Its totient is φ = 1154373120.

The previous prime is 5331118783. The next prime is 5331118817. The reversal of 5331118800 is 88111335.

It is an interprime number because it is at equal distance from previous prime (5331118783) and next prime (5331118817).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142899 + ... + 176301.

Almost surely, 2^5331118800 is an apocalyptic number.

5331118800 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 5331118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272398080).

5331118800 is an abundant number, since it is smaller than the sum of its proper divisors (15213677360).

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

5331118800 is a wasteful number, since it uses less digits than its factorization.

5331118800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33450 (or 33439 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 5331118800 is about 73014.5108865354. The cubic root of 5331118800 is about 1746.9190743624.

The spelling of 5331118800 in words is "five billion, three hundred thirty-one million, one hundred eighteen thousand, eight hundred".