11256761567 has 8 divisors (see below), whose sum is σ = 11361776256. Its totient is φ = 11151841792.

The previous prime is 11256761561. The next prime is 11256761573. The reversal of 11256761567 is 76516765211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11256761561) and next prime (11256761573).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11256761567 - 2⁸ = 11256761311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11256761561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226823 + ... + 271959.

It is an arithmetic number, because the mean of its divisors is an integer number (1420222032).

Almost surely, 2^11256761567 is an apocalyptic number.

11256761567 is a deficient number, since it is larger than the sum of its proper divisors (105014689).

11256761567 is a wasteful number, since it uses less digits than its factorization.

11256761567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47457.

The product of its digits is 529200, while the sum is 47.

The spelling of 11256761567 in words is "eleven billion, two hundred fifty-six million, seven hundred sixty-one thousand, five hundred sixty-seven".