10766242734511 has 16 divisors (see below), whose sum is σ = 11749321495296. Its totient is φ = 9783886320000.

The previous prime is 10766242734469. The next prime is 10766242734517. The reversal of 10766242734511 is 11543724266701.

It is a cyclic number.

It is not a de Polignac number, because 10766242734511 - 2¹⁵ = 10766242701743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10766242734517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404109751 + ... + 404136391.

It is an arithmetic number, because the mean of its divisors is an integer number (734332593456).

Almost surely, 2^{10766242734511} is an apocalyptic number.

10766242734511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10766242734511 is a deficient number, since it is larger than the sum of its proper divisors (983078760785).

10766242734511 is a wasteful number, since it uses less digits than its factorization.

10766242734511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38814.

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 10766242734511 in words is "ten trillion, seven hundred sixty-six billion, two hundred forty-two million, seven hundred thirty-four thousand, five hundred eleven".