52705445575680 has 528 divisors, whose sum is σ = 189489309609600. Its totient is φ = 14047179522048.

The previous prime is 52705445575639. The next prime is 52705445575753. The reversal of 52705445575680 is 8657554450725.

52705445575680 is a `hidden beast` number, since 5 + 2 + 7 + 0 + 54 + 4 + 5 + 575 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2521901871 + ... + 2521922769.

It is an arithmetic number, because the mean of its divisors is an integer number (358881268200).

Almost surely, 2^{52705445575680} 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 52705445575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94744654804800).

52705445575680 is an abundant number, since it is smaller than the sum of its proper divisors (136783864033920).

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

52705445575680 is a wasteful number, since it uses less digits than its factorization.

52705445575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22966 (or 22936 counting only the distinct ones).

The product of its (nonzero) digits is 235200000, while the sum is 63.

The spelling of 52705445575680 in words is "fifty-two trillion, seven hundred five billion, four hundred forty-five million, five hundred seventy-five thousand, six hundred eighty".