883326993120 has 2880 divisors, whose sum is σ = 4130264343744. Its totient is φ = 174593802240.

The previous prime is 883326993077. The next prime is 883326993149. The reversal of 883326993120 is 21399623388.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 16666547014 + ... + 16666547066.

Almost surely, 2^883326993120 is an apocalyptic number.

883326993120 is a gapful number since it is divisible by the number (80) 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 883326993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065132171872).

883326993120 is an abundant number, since it is smaller than the sum of its proper divisors (3246937350624).

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

883326993120 is a wasteful number, since it uses less digits than its factorization.

883326993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 883326993120 in words is "eight hundred eighty-three billion, three hundred twenty-six million, nine hundred ninety-three thousand, one hundred twenty".