82100052188 has 72 divisors (see below), whose sum is σ = 180649541856. Its totient is φ = 31957770240.

The previous prime is 82100052137. The next prime is 82100052283. The reversal of 82100052188 is 88125000128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3895856 + ... + 3916872.

Almost surely, 2^82100052188 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 82100052188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90324770928).

82100052188 is an abundant number, since it is smaller than the sum of its proper divisors (98549489668).

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

82100052188 is a wasteful number, since it uses less digits than its factorization.

82100052188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22203 (or 22190 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The spelling of 82100052188 in words is "eighty-two billion, one hundred million, fifty-two thousand, one hundred eighty-eight".