82872611220 has 432 divisors, whose sum is σ = 287819396928. Its totient is φ = 17760798720.

The previous prime is 82872611191. The next prime is 82872611233. The reversal of 82872611220 is 2211627828.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119931075 + ... + 119931765.

It is an arithmetic number, because the mean of its divisors is an integer number (666248604).

Almost surely, 2^82872611220 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 82872611220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143909698464).

82872611220 is an abundant number, since it is smaller than the sum of its proper divisors (204946785708).

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

82872611220 is a wasteful number, since it uses less digits than its factorization.

82872611220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 82872611220 in words is "eighty-two billion, eight hundred seventy-two million, six hundred eleven thousand, two hundred twenty".