5233664072000 has 448 divisors, whose sum is σ = 15990012240384. Its totient is φ = 1652443545600.

The previous prime is 5233664071963. The next prime is 5233664072003. The reversal of 5233664072000 is 2704663325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233664072003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315215699 + ... + 315232301.

It is an arithmetic number, because the mean of its divisors is an integer number (35691991608).

Almost surely, 2^{5233664072000} is an apocalyptic number.

5233664072000 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 5233664072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995006120192).

5233664072000 is an abundant number, since it is smaller than the sum of its proper divisors (10756348168384).

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

5233664072000 is a wasteful number, since it uses less digits than its factorization.

5233664072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17083 (or 17063 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The spelling of 5233664072000 in words is "five trillion, two hundred thirty-three billion, six hundred sixty-four million, seventy-two thousand".