82097042227200 has 5184 divisors, whose sum is σ = 413460428838912. Its totient is φ = 15594002841600.

The previous prime is 82097042227177. The next prime is 82097042227223. The reversal of 82097042227200 is 272224079028.

It is an interprime number because it is at equal distance from previous prime (82097042227177) and next prime (82097042227223).

It is a tau number, because it is divible by the number of its divisors (5184).

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 287 ways as a sum of consecutive naturals, for example, 797058662349 + ... + 797058662451.

It is an arithmetic number, because the mean of its divisors is an integer number (79757027168).

Almost surely, 2^{82097042227200} is an apocalyptic number.

82097042227200 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 82097042227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206730214419456).

82097042227200 is an abundant number, since it is smaller than the sum of its proper divisors (331363386611712).

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

82097042227200 is a wasteful number, since it uses less digits than its factorization.

82097042227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 82097042227200 in words is "eighty-two trillion, ninety-seven billion, forty-two million, two hundred twenty-seven thousand, two hundred".