13233303793920 has 576 divisors, whose sum is σ = 50018282496000. Its totient is φ = 2917463851008.

The previous prime is 13233303793909. The next prime is 13233303793921. The reversal of 13233303793920 is 2939730333231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13233303793920.

It is not an unprimeable number, because it can be changed into a prime (13233303793921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 809913111 + ... + 809929449.

It is an arithmetic number, because the mean of its divisors is an integer number (86837296000).

Almost surely, 2^{13233303793920} is an apocalyptic number.

13233303793920 is a gapful number since it is divisible by the number (10) 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 13233303793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25009141248000).

13233303793920 is an abundant number, since it is smaller than the sum of its proper divisors (36784978702080).

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

13233303793920 is a wasteful number, since it uses less digits than its factorization.

13233303793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17438 (or 17424 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 48.

The spelling of 13233303793920 in words is "thirteen trillion, two hundred thirty-three billion, three hundred three million, seven hundred ninety-three thousand, nine hundred twenty".