82282372300800 has 1536 divisors, whose sum is σ = 349812282604800. Its totient is φ = 18807399383040.

The previous prime is 82282372300787. The next prime is 82282372300811. The reversal of 82282372300800 is 800327328228.

It is a tau number, because it is divible by the number of its divisors (1536).

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 95 ways as a sum of consecutive naturals, for example, 11754624614397 + ... + 11754624614403.

Almost surely, 2^{82282372300800} is an apocalyptic number.

82282372300800 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 82282372300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174906141302400).

82282372300800 is an abundant number, since it is smaller than the sum of its proper divisors (267529910304000).

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

82282372300800 is an frugal number, since it uses more digits than its factorization.

82282372300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 82282372300800 in words is "eighty-two trillion, two hundred eighty-two billion, three hundred seventy-two million, three hundred thousand, eight hundred".