5985115200 has 504 divisors, whose sum is σ = 23525244288. Its totient is φ = 1435484160.

The previous prime is 5985115163. The next prime is 5985115247. The reversal of 5985115200 is 25115895.

It is a happy number.

5985115200 is a `hidden beast` number, since 5 + 98 + 511 + 52 + 0 + 0 = 666.

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, 5629869 + ... + 5630931.

It is an arithmetic number, because the mean of its divisors is an integer number (46677072).

Almost surely, 2^5985115200 is an apocalyptic number.

5985115200 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 5985115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762622144).

5985115200 is an abundant number, since it is smaller than the sum of its proper divisors (17540129088).

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

5985115200 is a wasteful number, since it uses less digits than its factorization.

5985115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 5985115200 is about 77363.5262898480. The cubic root of 5985115200 is about 1815.6167109467.

The spelling of 5985115200 in words is "five billion, nine hundred eighty-five million, one hundred fifteen thousand, two hundred".