82747198000 has 80 divisors (see below), whose sum is σ = 201610712160. Its totient is φ = 32846112000.

The previous prime is 82747197947. The next prime is 82747198067. The reversal of 82747198000 is 89174728.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104086 + ... + 419914.

It is an arithmetic number, because the mean of its divisors is an integer number (2520133902).

Almost surely, 2^82747198000 is an apocalyptic number.

82747198000 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 82747198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100805356080).

82747198000 is an abundant number, since it is smaller than the sum of its proper divisors (118863514160).

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

82747198000 is a wasteful number, since it uses less digits than its factorization.

82747198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315983 (or 315967 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The spelling of 82747198000 in words is "eighty-two billion, seven hundred forty-seven million, one hundred ninety-eight thousand".