52766836162560 has 1536 divisors, whose sum is σ = 205589691216000. Its totient is φ = 12906330587136.

The previous prime is 52766836162549. The next prime is 52766836162561. The reversal of 52766836162560 is 6526163866725.

52766836162560 is a `hidden beast` number, since 5 + 2 + 7 + 6 + 6 + 8 + 3 + 6 + 1 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (52766836162561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139226480451 + ... + 139226480829.

Almost surely, 2^{52766836162560} 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 52766836162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102794845608000).

52766836162560 is an abundant number, since it is smaller than the sum of its proper divisors (152822855053440).

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

52766836162560 is an equidigital number, since it uses as much as digits as its factorization.

52766836162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 52766836162560 in words is "fifty-two trillion, seven hundred sixty-six billion, eight hundred thirty-six million, one hundred sixty-two thousand, five hundred sixty".