82290709120 has 64 divisors (see below), whose sum is σ = 196955504640. Its totient is φ = 32877921280.

The previous prime is 82290709087. The next prime is 82290709199. The reversal of 82290709120 is 2190709228.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 477825 + ... + 626815.

It is an arithmetic number, because the mean of its divisors is an integer number (3077429760).

Almost surely, 2^82290709120 is an apocalyptic number.

82290709120 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 82290709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98477752320).

82290709120 is an abundant number, since it is smaller than the sum of its proper divisors (114664795520).

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

82290709120 is a wasteful number, since it uses less digits than its factorization.

82290709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149873 (or 149861 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 82290709120 in words is "eighty-two billion, two hundred ninety million, seven hundred nine thousand, one hundred twenty".