82091733120 has 128 divisors (see below), whose sum is σ = 290741616000. Its totient is φ = 21891124224.

The previous prime is 82091733107. The next prime is 82091733131. The reversal of 82091733120 is 2133719028.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2358060 + ... + 2392619.

It is an arithmetic number, because the mean of its divisors is an integer number (2271418875).

Almost surely, 2^82091733120 is an apocalyptic number.

82091733120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82091733120 is an abundant number, since it is smaller than the sum of its proper divisors (208649882880).

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

82091733120 is a wasteful number, since it uses less digits than its factorization.

82091733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750707 (or 4750689 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 82091733120 in words is "eighty-two billion, ninety-one million, seven hundred thirty-three thousand, one hundred twenty".