82662244600 has 96 divisors (see below), whose sum is σ = 207166115520. Its totient is φ = 30493048320.

The previous prime is 82662244591. The next prime is 82662244601. The reversal of 82662244600 is 644226628.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82662244601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2889969 + ... + 2918431.

It is an arithmetic number, because the mean of its divisors is an integer number (2157980370).

Almost surely, 2^82662244600 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 82662244600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103583057760).

82662244600 is an abundant number, since it is smaller than the sum of its proper divisors (124503870920).

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

82662244600 is a wasteful number, since it uses less digits than its factorization.

82662244600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29609 (or 29600 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 82662244600 in words is "eighty-two billion, six hundred sixty-two million, two hundred forty-four thousand, six hundred".