82986210033664 has 216 divisors, whose sum is σ = 197559860884848. Its totient is φ = 34738297896960.

The previous prime is 82986210033631. The next prime is 82986210033709. The reversal of 82986210033664 is 46633001268928.

It is a super-2 number, since 2×82986210033664² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82986210033599 and 82986210033608.

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, 276018459 + ... + 276318949.

It is an arithmetic number, because the mean of its divisors is an integer number (914628985578).

Almost surely, 2^{82986210033664} 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 82986210033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98779930442424).

82986210033664 is an abundant number, since it is smaller than the sum of its proper divisors (114573650851184).

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

82986210033664 is an frugal number, since it uses more digits than its factorization.

82986210033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300582 (or 300543 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 82986210033664 in words is "eighty-two trillion, nine hundred eighty-six billion, two hundred ten million, thirty-three thousand, six hundred sixty-four".