5330873856000 has 2496 divisors, whose sum is σ = 23157834246144. Its totient is φ = 1076232192000.

The previous prime is 5330873855947. The next prime is 5330873856019. The reversal of 5330873856000 is 6583780335.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 191 ways as a sum of consecutive naturals, for example, 38911487932 + ... + 38911488068.

It is an arithmetic number, because the mean of its divisors is an integer number (9277978464).

Almost surely, 2^{5330873856000} is an apocalyptic number.

5330873856000 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 5330873856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11578917123072).

5330873856000 is an abundant number, since it is smaller than the sum of its proper divisors (17826960390144).

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

5330873856000 is a wasteful number, since it uses less digits than its factorization.

5330873856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 5330873856000 in words is "five trillion, three hundred thirty billion, eight hundred seventy-three million, eight hundred fifty-six thousand".