5981875200 has 396 divisors, whose sum is σ = 24484248880. Its totient is φ = 1366917120.

The previous prime is 5981875199. The next prime is 5981875247. The reversal of 5981875200 is 25781895.

It is a happy number.

5981875200 is a `hidden beast` number, since 598 + 1 + 8 + 7 + 52 + 0 + 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1610946 + ... + 1614654.

Almost surely, 2^5981875200 is an apocalyptic number.

5981875200 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 5981875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12242124440).

5981875200 is an abundant number, since it is smaller than the sum of its proper divisors (18502373680).

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

5981875200 is a wasteful number, since it uses less digits than its factorization.

5981875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 5981875200 is about 77342.5833548376. The cubic root of 5981875200 is about 1815.2890280330.

The spelling of 5981875200 in words is "five billion, nine hundred eighty-one million, eight hundred seventy-five thousand, two hundred".