10865039918656 has 189 divisors, whose sum is σ = 27572826527211. Its totient is φ = 4232341344000.

The previous prime is 10865039918633. The next prime is 10865039918713. The reversal of 10865039918656 is 65681993056801.

The square root of 10865039918656 is 3296216.

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

It is a junction number, because it is equal to n+sod(n) for n = 10865039918591 and 10865039918600.

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 26 ways as a sum of consecutive naturals, for example, 2030466381 + ... + 2030471731.

Almost surely, 2^{10865039918656} is an apocalyptic number.

10865039918656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10865039918656 is the 3296216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10865039918656

10865039918656 is an abundant number, since it is smaller than the sum of its proper divisors (16707786608555).

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

10865039918656 is an frugal number, since it uses more digits than its factorization.

10865039918656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10750 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 67.

The spelling of 10865039918656 in words is "ten trillion, eight hundred sixty-five billion, thirty-nine million, nine hundred eighteen thousand, six hundred fifty-six".