83564182241280 has 2160 divisors, whose sum is σ = 343550502020880. Its totient is φ = 19313461297152.

The previous prime is 83564182241249. The next prime is 83564182241311. The reversal of 83564182241280 is 8214228146538.

83564182241280 is a `hidden beast` number, since 8 + 3 + 5 + 6 + 41 + 82 + 241 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (83564182241249) and next prime (83564182241311).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 199437188911 + ... + 199437189329.

It is an arithmetic number, because the mean of its divisors is an integer number (159051158343).

Almost surely, 2^{83564182241280} is an apocalyptic number.

83564182241280 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 83564182241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171775251010440).

83564182241280 is an abundant number, since it is smaller than the sum of its proper divisors (259986319779600).

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

83564182241280 is an equidigital number, since it uses as much as digits as its factorization.

83564182241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 83564182241280 in words is "eighty-three trillion, five hundred sixty-four billion, one hundred eighty-two million, two hundred forty-one thousand, two hundred eighty".