5382115200 has 768 divisors, whose sum is σ = 24587712000. Its totient is φ = 1116979200.

The previous prime is 5382115171. The next prime is 5382115267. The reversal of 5382115200 is 25112835.

It is a happy number.

5382115200 is a `hidden beast` number, since 53 + 82 + 11 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6652396 + ... + 6653204.

It is an arithmetic number, because the mean of its divisors is an integer number (32015250).

Almost surely, 2^5382115200 is an apocalyptic number.

5382115200 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 5382115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293856000).

5382115200 is an abundant number, since it is smaller than the sum of its proper divisors (19205596800).

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

5382115200 is a wasteful number, since it uses less digits than its factorization.

5382115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5382115200 is about 73362.9007060108. The cubic root of 5382115200 is about 1752.4716313310.

The spelling of 5382115200 in words is "five billion, three hundred eighty-two million, one hundred fifteen thousand, two hundred".