5359032000 has 840 divisors, whose sum is σ = 23085259392. Its totient is φ = 1185408000.

The previous prime is 5359031959. The next prime is 5359032013. The reversal of 5359032000 is 2309535.

5359032000 is a `hidden beast` number, since 53 + 590 + 3 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172871985 + ... + 172872015.

Almost surely, 2^5359032000 is an apocalyptic number.

5359032000 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 5359032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542629696).

5359032000 is an abundant number, since it is smaller than the sum of its proper divisors (17726227392).

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

5359032000 is an equidigital number, since it uses as much as digits as its factorization.

5359032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 5359032000 is about 73205.4096361737. The cubic root of 5359032000 is about 1749.9626658702.

The spelling of 5359032000 in words is "five billion, three hundred fifty-nine million, thirty-two thousand".