82000989100800 has 5184 divisors, whose sum is σ = 397939140264960. Its totient is φ = 16178393088000.

The previous prime is 82000989100787. The next prime is 82000989100817. The reversal of 82000989100800 is 800198900028.

82000989100800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1547188473574 + ... + 1547188473626.

It is an arithmetic number, because the mean of its divisors is an integer number (76762951440).

Almost surely, 2^{82000989100800} is an apocalyptic number.

82000989100800 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 82000989100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198969570132480).

82000989100800 is an abundant number, since it is smaller than the sum of its proper divisors (315938151164160).

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

82000989100800 is a wasteful number, since it uses less digits than its factorization.

82000989100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 82000989100800 in words is "eighty-two trillion, nine hundred eighty-nine million, one hundred thousand, eight hundred".