82341958071120 has 160 divisors (see below), whose sum is σ = 279061821043200. Its totient is φ = 19918941995520.

The previous prime is 82341958071097. The next prime is 82341958071137. The reversal of 82341958071120 is 2117085914328.

It is a happy number.

It is a super-2 number, since 2×82341958071120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32161270 + ... + 34627029.

It is an arithmetic number, because the mean of its divisors is an integer number (1744136381520).

Almost surely, 2^{82341958071120} is an apocalyptic number.

82341958071120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82341958071120 is an abundant number, since it is smaller than the sum of its proper divisors (196719862972080).

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

82341958071120 is a wasteful number, since it uses less digits than its factorization.

82341958071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66788793 (or 66788787 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 82341958071120 in words is "eighty-two trillion, three hundred forty-one billion, nine hundred fifty-eight million, seventy-one thousand, one hundred twenty".