82192347840 has 112 divisors (see below), whose sum is σ = 261709509600. Its totient is φ = 21855068160.

The previous prime is 82192347647. The next prime is 82192347863. The reversal of 82192347840 is 4874329128.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 82192347840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212380 + ... + 457700.

It is an arithmetic number, because the mean of its divisors is an integer number (2336692050).

Almost surely, 2^82192347840 is an apocalyptic number.

82192347840 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 82192347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130854754800).

82192347840 is an abundant number, since it is smaller than the sum of its proper divisors (179517161760).

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

82192347840 is a wasteful number, since it uses less digits than its factorization.

82192347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245690 (or 245680 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 82192347840 in words is "eighty-two billion, one hundred ninety-two million, three hundred forty-seven thousand, eight hundred forty".