82112949200 has 60 divisors (see below), whose sum is σ = 197305600800. Its totient is φ = 32840311680.

The previous prime is 82112949199. The next prime is 82112949209. The reversal of 82112949200 is 294921128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82112949209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4029437 + ... + 4049763.

It is an arithmetic number, because the mean of its divisors is an integer number (3288426680).

Almost surely, 2^82112949200 is an apocalyptic number.

82112949200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82112949200 is an abundant number, since it is smaller than the sum of its proper divisors (115192651600).

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

82112949200 is a wasteful number, since it uses less digits than its factorization.

82112949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30444 (or 30433 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 82112949200 in words is "eighty-two billion, one hundred twelve million, nine hundred forty-nine thousand, two hundred".