82921077645120 has 2688 divisors, whose sum is σ = 369246482841600. Its totient is φ = 16760129126400.

The previous prime is 82921077645079. The next prime is 82921077645169. The reversal of 82921077645120 is 2154677012928.

82921077645120 is a `hidden beast` number, since 8 + 2 + 92 + 10 + 7 + 76 + 451 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 77568827946 + ... + 77568829014.

It is an arithmetic number, because the mean of its divisors is an integer number (137368483200).

Almost surely, 2^{82921077645120} is an apocalyptic number.

82921077645120 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 82921077645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184623241420800).

82921077645120 is an abundant number, since it is smaller than the sum of its proper divisors (286325405196480).

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

82921077645120 is a wasteful number, since it uses less digits than its factorization.

82921077645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 82921077645120 in words is "eighty-two trillion, nine hundred twenty-one billion, seventy-seven million, six hundred forty-five thousand, one hundred twenty".