10712303312256 has 1280 divisors, whose sum is σ = 40349453760000. Its totient is φ = 2803214905344.

The previous prime is 10712303312219. The next prime is 10712303312267. The reversal of 10712303312256 is 65221330321701.

10712303312256 is a `hidden beast` number, since 1 + 0 + 7 + 12 + 303 + 312 + 25 + 6 = 666.

It is a super-2 number, since 2×10712303312256² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10712303312256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6426095935 + ... + 6426097601.

It is an arithmetic number, because the mean of its divisors is an integer number (31523010750).

Almost surely, 2^{10712303312256} is an apocalyptic number.

10712303312256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712303312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174726880000).

10712303312256 is an abundant number, since it is smaller than the sum of its proper divisors (29637150447744).

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

10712303312256 is a wasteful number, since it uses less digits than its factorization.

10712303312256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 10712303312256 its reverse (65221330321701), we get a palindrome (75933633633957).

The spelling of 10712303312256 in words is "ten trillion, seven hundred twelve billion, three hundred three million, three hundred twelve thousand, two hundred fifty-six".