82290220672 has 96 divisors (see below), whose sum is σ = 189980785440. Its totient is φ = 35204198400.

The previous prime is 82290220651. The next prime is 82290220687. The reversal of 82290220672 is 27602209228.

It is a super-2 number, since 2×82290220672² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305797 + ... + 508027.

It is an arithmetic number, because the mean of its divisors is an integer number (1978966515).

Almost surely, 2^82290220672 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 82290220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94990392720).

82290220672 is an abundant number, since it is smaller than the sum of its proper divisors (107690564768).

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

82290220672 is a wasteful number, since it uses less digits than its factorization.

82290220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202290 (or 202261 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 82290220672 in words is "eighty-two billion, two hundred ninety million, two hundred twenty thousand, six hundred seventy-two".