82163235840 has 704 divisors, whose sum is σ = 322594099200. Its totient is φ = 17421041664.

The previous prime is 82163235829. The next prime is 82163235871. The reversal of 82163235840 is 4853236128.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 82163235792 and 82163235801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144399076 + ... + 144399644.

Almost surely, 2^82163235840 is an apocalyptic number.

82163235840 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 82163235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161297049600).

82163235840 is an abundant number, since it is smaller than the sum of its proper divisors (240430863360).

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

82163235840 is a wasteful number, since it uses less digits than its factorization.

82163235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

It can be divided in two parts, 82163 and 235840, that added together give a triangular number (318003 = T₇₉₇).

The spelling of 82163235840 in words is "eighty-two billion, one hundred sixty-three million, two hundred thirty-five thousand, eight hundred forty".