83047219200 has 468 divisors, whose sum is σ = 324538461468. Its totient is φ = 20132659200.

The previous prime is 83047219193. The next prime is 83047219223. The reversal of 83047219200 is 291274038.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7549747195 + ... + 7549747205.

It is an arithmetic number, because the mean of its divisors is an integer number (693458251).

Almost surely, 2^83047219200 is an apocalyptic number.

83047219200 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 83047219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162269230734).

83047219200 is an abundant number, since it is smaller than the sum of its proper divisors (241491242268).

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

83047219200 is an frugal number, since it uses more digits than its factorization.

83047219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 83047219200 in words is "eighty-three billion, forty-seven million, two hundred nineteen thousand, two hundred".