83681333120 has 512 divisors, whose sum is σ = 268719897600. Its totient is φ = 24117903360.

The previous prime is 83681333083. The next prime is 83681333143. The reversal of 83681333120 is 2133318638.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49426994 + ... + 49428686.

It is an arithmetic number, because the mean of its divisors is an integer number (524843550).

Almost surely, 2^83681333120 is an apocalyptic number.

83681333120 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 83681333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134359948800).

83681333120 is an abundant number, since it is smaller than the sum of its proper divisors (185038564480).

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

83681333120 is a wasteful number, since it uses less digits than its factorization.

83681333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 83681333120 in words is "eighty-three billion, six hundred eighty-one million, three hundred thirty-three thousand, one hundred twenty".