82691666100 has 288 divisors, whose sum is σ = 275462369280. Its totient is φ = 21258288000.

The previous prime is 82691666093. The next prime is 82691666137. The reversal of 82691666100 is 166619628.

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, 23685355 + ... + 23688845.

It is an arithmetic number, because the mean of its divisors is an integer number (956466560).

Almost surely, 2^82691666100 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 82691666100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137731184640).

82691666100 is an abundant number, since it is smaller than the sum of its proper divisors (192770703180).

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

82691666100 is a wasteful number, since it uses less digits than its factorization.

82691666100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 82691666100 in words is "eighty-two billion, six hundred ninety-one million, six hundred sixty-six thousand, one hundred".