5114188800 has 792 divisors, whose sum is σ = 21991657920. Its totient is φ = 1161216000.

The previous prime is 5114188787. The next prime is 5114188817. The reversal of 5114188800 is 88814115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33868725 + ... + 33868875.

Almost surely, 2^5114188800 is an apocalyptic number.

5114188800 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 5114188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10995828960).

5114188800 is an abundant number, since it is smaller than the sum of its proper divisors (16877469120).

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

5114188800 is a wasteful number, since it uses less digits than its factorization.

5114188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 5114188800 is about 71513.5567567437. The cubic root of 5114188800 is about 1722.8954296017.

The spelling of 5114188800 in words is "five billion, one hundred fourteen million, one hundred eighty-eight thousand, eight hundred".