83275699200 has 264 divisors, whose sum is σ = 276053179680. Its totient is φ = 22140518400.

The previous prime is 83275699193. The next prime is 83275699207. The reversal of 83275699200 is 299657238.

It is an interprime number because it is at equal distance from previous prime (83275699193) and next prime (83275699207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83275699207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29105770 + ... + 29108630.

Almost surely, 2^83275699200 is an apocalyptic number.

83275699200 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 83275699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138026589840).

83275699200 is an abundant number, since it is smaller than the sum of its proper divisors (192777480480).

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

83275699200 is a wasteful number, since it uses less digits than its factorization.

83275699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 83275699200 in words is "eighty-three billion, two hundred seventy-five million, six hundred ninety-nine thousand, two hundred".