52712032784688 has 480 divisors, whose sum is σ = 163222103116800. Its totient is φ = 16410846965760.

The previous prime is 52712032784627. The next prime is 52712032784689. The reversal of 52712032784688 is 88648723021725.

52712032784688 is a `hidden beast` number, since 5 + 2 + 71 + 2 + 0 + 32 + 78 + 468 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (52712032784689) 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, 15471683881 + ... + 15471687287.

It is an arithmetic number, because the mean of its divisors is an integer number (340046048160).

Almost surely, 2^{52712032784688} 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 52712032784688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81611051558400).

52712032784688 is an abundant number, since it is smaller than the sum of its proper divisors (110510070332112).

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

52712032784688 is a wasteful number, since it uses less digits than its factorization.

52712032784688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 52712032784688 in words is "fifty-two trillion, seven hundred twelve billion, thirty-two million, seven hundred eighty-four thousand, six hundred eighty-eight".