82654061820 has 576 divisors, whose sum is σ = 278874150912. Its totient is φ = 18274291200.

The previous prime is 82654061779. The next prime is 82654061887. The reversal of 82654061820 is 2816045628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1354984590 + ... + 1354984650.

It is an arithmetic number, because the mean of its divisors is an integer number (484156512).

Almost surely, 2^82654061820 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 82654061820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139437075456).

82654061820 is an abundant number, since it is smaller than the sum of its proper divisors (196220089092).

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

82654061820 is a wasteful number, since it uses less digits than its factorization.

82654061820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 82654061820 in words is "eighty-two billion, six hundred fifty-four million, sixty-one thousand, eight hundred twenty".