52820284047360 has 512 divisors, whose sum is σ = 174849477120000. Its totient is φ = 13601766113280.

The previous prime is 52820284047347. The next prime is 52820284047373. The reversal of 52820284047360 is 6374048202825.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52820284047347) and next prime (52820284047373).

It is a tau number, because it is divible by the number of its divisors (512).

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 31 ways as a sum of consecutive naturals, for example, 7603319407 + ... + 7603326353.

It is an arithmetic number, because the mean of its divisors is an integer number (341502885000).

Almost surely, 2^{52820284047360} 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 52820284047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87424738560000).

52820284047360 is an abundant number, since it is smaller than the sum of its proper divisors (122029193072640).

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

52820284047360 is an equidigital number, since it uses as much as digits as its factorization.

52820284047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 52820284047360 in words is "fifty-two trillion, eight hundred twenty billion, two hundred eighty-four million, forty-seven thousand, three hundred sixty".