52783412359680 has 960 divisors, whose sum is σ = 207269728174080. Its totient is φ = 12343460659200.

The previous prime is 52783412359679. The next prime is 52783412359693. The reversal of 52783412359680 is 8695321438725.

52783412359680 is a `hidden beast` number, since 5 + 2 + 7 + 8 + 34 + 1 + 2 + 3 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 312038325 + ... + 312207435.

It is an arithmetic number, because the mean of its divisors is an integer number (215905966848).

It is a 2-persistent number, because it is pandigital, and so is 2⋅52783412359680 = 105566824719360, but 3⋅52783412359680 = 158350237079040 is not.

Almost surely, 2^{52783412359680} 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 52783412359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103634864087040).

52783412359680 is an abundant number, since it is smaller than the sum of its proper divisors (154486315814400).

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

52783412359680 is a wasteful number, since it uses less digits than its factorization.

52783412359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169213 (or 169194 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 52783412359680 in words is "fifty-two trillion, seven hundred eighty-three billion, four hundred twelve million, three hundred fifty-nine thousand, six hundred eighty".