82423111680 has 1512 divisors, whose sum is σ = 373226103432. Its totient is φ = 17390370816.

The previous prime is 82423111663. The next prime is 82423111691. The reversal of 82423111680 is 8611132428.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6340239354 + ... + 6340239366.

It is an arithmetic number, because the mean of its divisors is an integer number (246842661).

Almost surely, 2^82423111680 is an apocalyptic number.

82423111680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82423111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186613051716).

82423111680 is an abundant number, since it is smaller than the sum of its proper divisors (290802991752).

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

82423111680 is an equidigital number, since it uses as much as digits as its factorization.

82423111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 82423111680 in words is "eighty-two billion, four hundred twenty-three million, one hundred eleven thousand, six hundred eighty".