52820247287808 has 2880 divisors, whose sum is σ = 219546176129280. Its totient is φ = 12218646528000.

The previous prime is 52820247287729. The next prime is 52820247287809. The reversal of 52820247287808 is 80878274202825.

52820247287808 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 0 + 2 + 472 + 87 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52820247287809) 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 239 ways as a sum of consecutive naturals, for example, 159577786203 + ... + 159577786533.

It is an arithmetic number, because the mean of its divisors is an integer number (76231311156).

Almost surely, 2^{52820247287808} 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 52820247287808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109773088064640).

52820247287808 is an abundant number, since it is smaller than the sum of its proper divisors (166725928841472).

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

52820247287808 is a wasteful number, since it uses less digits than its factorization.

52820247287808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 52820247287808 in words is "fifty-two trillion, eight hundred twenty billion, two hundred forty-seven million, two hundred eighty-seven thousand, eight hundred eight".