82211936760 has 384 divisors, whose sum is σ = 307415347200. Its totient is φ = 18916208640.

The previous prime is 82211936731. The next prime is 82211936771. The reversal of 82211936760 is 6763911228.

82211936760 is a `hidden beast` number, since 8 + 221 + 1 + 9 + 367 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3593277 + ... + 3616083.

It is an arithmetic number, because the mean of its divisors is an integer number (800560800).

Almost surely, 2^82211936760 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 82211936760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153707673600).

82211936760 is an abundant number, since it is smaller than the sum of its proper divisors (225203410440).

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

82211936760 is a wasteful number, since it uses less digits than its factorization.

82211936760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22891 (or 22884 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 82211936760 in words is "eighty-two billion, two hundred eleven million, nine hundred thirty-six thousand, seven hundred sixty".