82210680000 has 560 divisors, whose sum is σ = 304512024960. Its totient is φ = 21741696000.

The previous prime is 82210679987. The next prime is 82210680011. The reversal of 82210680000 is 8601228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176039767 + ... + 176040233.

Almost surely, 2^82210680000 is an apocalyptic number.

82210680000 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 82210680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152256012480).

82210680000 is an abundant number, since it is smaller than the sum of its proper divisors (222301344960).

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

82210680000 is a wasteful number, since it uses less digits than its factorization.

82210680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 82210680000 in words is "eighty-two billion, two hundred ten million, six hundred eighty thousand".