82958803200 has 2592 divisors, whose sum is σ = 415160928000. Its totient is φ = 15606743040.

The previous prime is 82958803177. The next prime is 82958803261. The reversal of 82958803200 is 230885928.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9100 × 9044 × 1008.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4366252791 + ... + 4366252809.

Almost surely, 2^82958803200 is an apocalyptic number.

82958803200 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 82958803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207580464000).

82958803200 is an abundant number, since it is smaller than the sum of its proper divisors (332202124800).

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

82958803200 is a wasteful number, since it uses less digits than its factorization.

82958803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 82958803200 in words is "eighty-two billion, nine hundred fifty-eight million, eight hundred three thousand, two hundred".