80224783892352 has 1152 divisors, whose sum is σ = 270877761423360. Its totient is φ = 22732047360000.

The previous prime is 80224783892327. The next prime is 80224783892359. The reversal of 80224783892352 is 25329838742208.

It is a happy number.

80224783892352 is a `hidden beast` number, since 8 + 0 + 2 + 247 + 8 + 38 + 9 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 80224783892352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80224783892359) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24142274563 + ... + 24142277885.

It is an arithmetic number, because the mean of its divisors is an integer number (235136945680).

Almost surely, 2^{80224783892352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80224783892352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135438880711680).

80224783892352 is an abundant number, since it is smaller than the sum of its proper divisors (190652977531008).

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

80224783892352 is a wasteful number, since it uses less digits than its factorization.

80224783892352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 80224783892352 in words is "eighty trillion, two hundred twenty-four billion, seven hundred eighty-three million, eight hundred ninety-two thousand, three hundred fifty-two".