10640539616256 has 297 divisors, whose sum is σ = 33782304266893. Its totient is φ = 3223362109440.

The previous prime is 10640539616243. The next prime is 10640539616257. The reversal of 10640539616256 is 65261693504601.

The square root of 10640539616256 is 3261984.

It is a perfect power (a square), and thus also a powerful number.

10640539616256 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 0 + 5 + 3 + 9 + 6 + 1 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9776978297856 + 863561318400 = 3126816^2 + 929280^2 .

It is a super-2 number, since 2×10640539616256² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10640539616257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3444653560 + ... + 3444656648.

Almost surely, 2^{10640539616256} is an apocalyptic number.

10640539616256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10640539616256 is the 3261984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10640539616256

10640539616256 is an abundant number, since it is smaller than the sum of its proper divisors (23141764650637).

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

10640539616256 is an frugal number, since it uses more digits than its factorization.

10640539616256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 10640539616256 in words is "ten trillion, six hundred forty billion, five hundred thirty-nine million, six hundred sixteen thousand, two hundred fifty-six".