11761310026667 has 16 divisors (see below), whose sum is σ = 12473185015200. Its totient is φ = 11058962814720.

The previous prime is 11761310026651. The next prime is 11761310026681. The reversal of 11761310026667 is 76662001316711.

It is a cyclic number.

It is not a de Polignac number, because 11761310026667 - 2⁴ = 11761310026651 is a prime.

It is a super-3 number, since 3×11761310026667³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11761310026637) 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, 1609058 + ... + 5109959.

It is an arithmetic number, because the mean of its divisors is an integer number (779574063450).

Almost surely, 2^{11761310026667} is an apocalyptic number.

11761310026667 is a deficient number, since it is larger than the sum of its proper divisors (711874988533).

11761310026667 is a wasteful number, since it uses less digits than its factorization.

11761310026667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719726.

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 11761310026667 in words is "eleven trillion, seven hundred sixty-one billion, three hundred ten million, twenty-six thousand, six hundred sixty-seven".