52766924575680 has 2688 divisors, whose sum is σ = 229673840148480. Its totient is φ = 11275732500480.

The previous prime is 52766924575667. The next prime is 52766924575727. The reversal of 52766924575680 is 8657542966725.

52766924575680 is a `hidden beast` number, since 5 + 2 + 7 + 6 + 6 + 9 + 2 + 4 + 57 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 52766924575599 and 52766924575608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 139226713731 + ... + 139226714109.

It is an arithmetic number, because the mean of its divisors is an integer number (85444136960).

Almost surely, 2^{52766924575680} 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 52766924575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114836920074240).

52766924575680 is an abundant number, since it is smaller than the sum of its proper divisors (176906915572800).

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

52766924575680 is a wasteful number, since it uses less digits than its factorization.

52766924575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 52766924575680 in words is "fifty-two trillion, seven hundred sixty-six billion, nine hundred twenty-four million, five hundred seventy-five thousand, six hundred eighty".