10866811536 has 405 divisors, whose sum is σ = 38102480091. Its totient is φ = 2882138112.

The previous prime is 10866811513. The next prime is 10866811537. The reversal of 10866811536 is 63511866801.

The square root of 10866811536 is 104244.

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

10866811536 is a `hidden beast` number, since 108 + 6 + 6 + 8 + 1 + 1 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1372257936 + 9494553600 = 37044^2 + 97440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10866811491 and 10866811500.

It is not an unprimeable number, because it can be changed into a prime (10866811537) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 148860396 + ... + 148860468.

Almost surely, 2^10866811536 is an apocalyptic number.

10866811536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10866811536 is the 104244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10866811536

10866811536 is an abundant number, since it is smaller than the sum of its proper divisors (27235668555).

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

10866811536 is a wasteful number, since it uses less digits than its factorization.

10866811536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10866811536 in words is "ten billion, eight hundred sixty-six million, eight hundred eleven thousand, five hundred thirty-six".