5830872000 has 336 divisors, whose sum is σ = 20350410912. Its totient is φ = 1470873600.

The previous prime is 5830871989. The next prime is 5830872013. The reversal of 5830872000 is 2780385.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8663664 + ... + 8664336.

Almost surely, 2^5830872000 is an apocalyptic number.

5830872000 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 5830872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175205456).

5830872000 is an abundant number, since it is smaller than the sum of its proper divisors (14519538912).

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

5830872000 is a wasteful number, since it uses less digits than its factorization.

5830872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 5830872000 is about 76360.1466735103. The cubic root of 5830872000 is about 1799.8839431346.

The spelling of 5830872000 in words is "five billion, eight hundred thirty million, eight hundred seventy-two thousand".