82820192053872 has 640 divisors, whose sum is σ = 274083449536512. Its totient is φ = 20962561536000.

The previous prime is 82820192053847. The next prime is 82820192053889. The reversal of 82820192053872 is 27835029102828.

82820192053872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13351631923 + ... + 13351638125.

Almost surely, 2^{82820192053872} 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 82820192053872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137041724768256).

82820192053872 is an abundant number, since it is smaller than the sum of its proper divisors (191263257482640).

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

82820192053872 is a wasteful number, since it uses less digits than its factorization.

82820192053872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7069 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 82820192053872 in words is "eighty-two trillion, eight hundred twenty billion, one hundred ninety-two million, fifty-three thousand, eight hundred seventy-two".