82062344160 has 144 divisors (see below), whose sum is σ = 290409655536. Its totient is φ = 21883281408.

The previous prime is 82062344113. The next prime is 82062344197. The reversal of 82062344160 is 6144326028.

82062344160 is a `hidden beast` number, since 8 + 2 + 0 + 6 + 234 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×82062344160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016449 + ... + 1094208.

It is an arithmetic number, because the mean of its divisors is an integer number (2016733719).

Almost surely, 2^82062344160 is an apocalyptic number.

82062344160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82062344160 is an abundant number, since it is smaller than the sum of its proper divisors (208347311376).

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

82062344160 is a wasteful number, since it uses less digits than its factorization.

82062344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110687 (or 2110667 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 82062344160 in words is "eighty-two billion, sixty-two million, three hundred forty-four thousand, one hundred sixty".