82294186240 has 576 divisors, whose sum is σ = 249596928000. Its totient is φ = 25360957440.

The previous prime is 82294186199. The next prime is 82294186243. The reversal of 82294186240 is 4268149228.

It is not an unprimeable number, because it can be changed into a prime (82294186243) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 390019735 + ... + 390019945.

It is an arithmetic number, because the mean of its divisors is an integer number (433328000).

Almost surely, 2^82294186240 is an apocalyptic number.

82294186240 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 82294186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124798464000).

82294186240 is an abundant number, since it is smaller than the sum of its proper divisors (167302741760).

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

82294186240 is a wasteful number, since it uses less digits than its factorization.

82294186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 82294186240 in words is "eighty-two billion, two hundred ninety-four million, one hundred eighty-six thousand, two hundred forty".