10512108785664 has 416 divisors, whose sum is σ = 33320123030400. Its totient is φ = 3265153597440.

The previous prime is 10512108785641. The next prime is 10512108785669. The reversal of 10512108785664 is 46658780121501.

10512108785664 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 2 + 1 + 0 + 8 + 78 + 566 + 4 = 666.

It is a super-2 number, since 2×10512108785664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10512108785664.

It is not an unprimeable number, because it can be changed into a prime (10512108785669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128135122 + ... + 128217134.

Almost surely, 2^{10512108785664} 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 10512108785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16660061515200).

10512108785664 is an abundant number, since it is smaller than the sum of its proper divisors (22808014244736).

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

10512108785664 is an equidigital number, since it uses as much as digits as its factorization.

10512108785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82126 (or 82098 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 10512108785664 in words is "ten trillion, five hundred twelve billion, one hundred eight million, seven hundred eighty-five thousand, six hundred sixty-four".