5332861800 has 960 divisors, whose sum is σ = 22988528640. Its totient is φ = 1119744000.

The previous prime is 5332861789. The next prime is 5332861813. The reversal of 5332861800 is 81682335.

5332861800 is a `hidden beast` number, since 5 + 3 + 32 + 8 + 618 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 239 ways as a sum of consecutive naturals, for example, 130069780 + ... + 130069820.

It is an arithmetic number, because the mean of its divisors is an integer number (23946384).

Almost surely, 2^5332861800 is an apocalyptic number.

5332861800 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 5332861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494264320).

5332861800 is an abundant number, since it is smaller than the sum of its proper divisors (17655666840).

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

5332861800 is a wasteful number, since it uses less digits than its factorization.

5332861800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5332861800 is about 73026.4458946209. The cubic root of 5332861800 is about 1747.1094376665.

The spelling of 5332861800 in words is "five billion, three hundred thirty-two million, eight hundred sixty-one thousand, eight hundred".