5459832000 has 896 divisors, whose sum is σ = 24040673280. Its totient is φ = 1186099200.

The previous prime is 5459831929. The next prime is 5459832011. The reversal of 5459832000 is 2389545.

5459832000 is a `hidden beast` number, since 545 + 98 + 3 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34775922 + ... + 34776078.

Almost surely, 2^5459832000 is an apocalyptic number.

5459832000 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 5459832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020336640).

5459832000 is an abundant number, since it is smaller than the sum of its proper divisors (18580841280).

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

5459832000 is a wasteful number, since it uses less digits than its factorization.

5459832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5459832000 is about 73890.6760017798. The cubic root of 5459832000 is about 1760.8664810586.

The spelling of 5459832000 in words is "five billion, four hundred fifty-nine million, eight hundred thirty-two thousand".