82906918720 has 112 divisors (see below), whose sum is σ = 206135020800. Its totient is φ = 31700996096.

The previous prime is 82906918669. The next prime is 82906918733. The reversal of 82906918720 is 2781960928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17830956 + ... + 17835604.

Almost surely, 2^82906918720 is an apocalyptic number.

82906918720 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 82906918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103067510400).

82906918720 is an abundant number, since it is smaller than the sum of its proper divisors (123228102080).

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

82906918720 is a wasteful number, since it uses less digits than its factorization.

82906918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7112 (or 7102 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 82906918720 in words is "eighty-two billion, nine hundred six million, nine hundred eighteen thousand, seven hundred twenty".