82182269520 has 560 divisors, whose sum is σ = 313750616592. Its totient is φ = 19886653440.

The previous prime is 82182269501. The next prime is 82182269549. The reversal of 82182269520 is 2596228128.

82182269520 is a `hidden beast` number, since 8 + 21 + 82 + 26 + 9 + 520 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23552427024 + 58629842496 = 153468^2 + 242136^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 46246872 + ... + 46248648.

Almost surely, 2^82182269520 is an apocalyptic number.

82182269520 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 82182269520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156875308296).

82182269520 is an abundant number, since it is smaller than the sum of its proper divisors (231568347072).

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

82182269520 is a wasteful number, since it uses less digits than its factorization.

82182269520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 82182269520 in words is "eighty-two billion, one hundred eighty-two million, two hundred sixty-nine thousand, five hundred twenty".