5332303872000 has 2280 divisors, whose sum is σ = 23692080740328. Its totient is φ = 1189085184000.

The previous prime is 5332303871977. The next prime is 5332303872017. The reversal of 5332303872000 is 2783032335.

5332303872000 is a `hidden beast` number, since 53 + 3 + 23 + 0 + 387 + 200 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1202759663616 + 4129544208384 = 1096704^2 + 2032128^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130056191980 + ... + 130056192020.

Almost surely, 2^{5332303872000} is an apocalyptic number.

5332303872000 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 5332303872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846040370164).

5332303872000 is an abundant number, since it is smaller than the sum of its proper divisors (18359776868328).

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

5332303872000 is an frugal number, since it uses more digits than its factorization.

5332303872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 5332303872000 in words is "five trillion, three hundred thirty-two billion, three hundred three million, eight hundred seventy-two thousand".