82906199340 has 96 divisors (see below), whose sum is σ = 242267820480. Its totient is φ = 21157011456.

The previous prime is 82906199329. The next prime is 82906199393. The reversal of 82906199340 is 4399160928.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 14209 + ... + 407448.

It is an arithmetic number, because the mean of its divisors is an integer number (2523623130).

Almost surely, 2^82906199340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82906199340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121133910240).

82906199340 is an abundant number, since it is smaller than the sum of its proper divisors (159361621140).

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

82906199340 is a wasteful number, since it uses less digits than its factorization.

82906199340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421811 (or 421809 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 82906199340 in words is "eighty-two billion, nine hundred six million, one hundred ninety-nine thousand, three hundred forty".