83138380800 has 132 divisors (see below), whose sum is σ = 274776932496. Its totient is φ = 22170214400.

The previous prime is 83138380783. The next prime is 83138380811. The reversal of 83138380800 is 808383138.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464466 + ... + 618065.

It is an arithmetic number, because the mean of its divisors is an integer number (2081643428).

Almost surely, 2^83138380800 is an apocalyptic number.

83138380800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83138380800 is an abundant number, since it is smaller than the sum of its proper divisors (191638551696).

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

83138380800 is a wasteful number, since it uses less digits than its factorization.

83138380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082564 (or 1082541 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 83138380800 in words is "eighty-three billion, one hundred thirty-eight million, three hundred eighty thousand, eight hundred".