5978536200 has 1152 divisors, whose sum is σ = 27785721600. Its totient is φ = 1114767360.

The previous prime is 5978536199. The next prime is 5978536229. The reversal of 5978536200 is 26358795.

It is a happy number.

5978536200 is a `hidden beast` number, since 5 + 97 + 8 + 536 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52907344 + ... + 52907456.

It is an arithmetic number, because the mean of its divisors is an integer number (24119550).

Almost surely, 2^5978536200 is an apocalyptic number.

5978536200 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 5978536200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892860800).

5978536200 is an abundant number, since it is smaller than the sum of its proper divisors (21807185400).

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

5978536200 is a wasteful number, since it uses less digits than its factorization.

5978536200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5978536200 is about 77320.9945616325. The cubic root of 5978536200 is about 1814.9512087606.

The spelling of 5978536200 in words is "five billion, nine hundred seventy-eight million, five hundred thirty-six thousand, two hundred".