82366109280 has 384 divisors, whose sum is σ = 354809548800. Its totient is φ = 17378260992.

The previous prime is 82366109279. The next prime is 82366109297. The reversal of 82366109280 is 8290166328.

82366109280 is a `hidden beast` number, since 8 + 2 + 3 + 6 + 610 + 9 + 28 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288361 + ... + 497879.

It is an arithmetic number, because the mean of its divisors is an integer number (923983200).

Almost surely, 2^82366109280 is an apocalyptic number.

82366109280 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 82366109280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177404774400).

82366109280 is an abundant number, since it is smaller than the sum of its proper divisors (272443439520).

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

82366109280 is a wasteful number, since it uses less digits than its factorization.

82366109280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209563 (or 209549 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 82366109280 in words is "eighty-two billion, three hundred sixty-six million, one hundred nine thousand, two hundred eighty".