82146566880 has 384 divisors, whose sum is σ = 345882700800. Its totient is φ = 17788004352.

The previous prime is 82146566857. The next prime is 82146566917. The reversal of 82146566880 is 8866564128.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503074 + ... + 646046.

It is an arithmetic number, because the mean of its divisors is an integer number (900736200).

Almost surely, 2^82146566880 is an apocalyptic number.

82146566880 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 82146566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172941350400).

82146566880 is an abundant number, since it is smaller than the sum of its proper divisors (263736133920).

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

82146566880 is a wasteful number, since it uses less digits than its factorization.

82146566880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143023 (or 143009 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 82146566880 in words is "eighty-two billion, one hundred forty-six million, five hundred sixty-six thousand, eight hundred eighty".