52812035712 has 576 divisors, whose sum is σ = 170803465560. Its totient is φ = 15642132480.

The previous prime is 52812035707. The next prime is 52812035723. The reversal of 52812035712 is 21753021825.

52812035712 is a `hidden beast` number, since 5 + 2 + 81 + 2 + 0 + 3 + 571 + 2 = 666.

52812035712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 14637128256 + 38174907456 = 120984^2 + 195384^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×52812035712² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 723452508 + ... + 723452580.

Almost surely, 2^52812035712 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 52812035712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85401732780).

52812035712 is an abundant number, since it is smaller than the sum of its proper divisors (117991429848).

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

52812035712 is a wasteful number, since it uses less digits than its factorization.

52812035712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 52812035712 in words is "fifty-two billion, eight hundred twelve million, thirty-five thousand, seven hundred twelve".