11117828767 has 2 divisors, whose sum is σ = 11117828768. Its totient is φ = 11117828766.

The previous prime is 11117828731. The next prime is 11117828789. The reversal of 11117828767 is 76782871111.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (76782871111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11117828767 - 2¹⁵ = 11117795999 is a prime.

It is a super-2 number, since 2×11117828767² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11117828767.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11117828717) by changing a digit.

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 as a sum of consecutive naturals, namely, 5558914383 + 5558914384.

It is an arithmetic number, because the mean of its divisors is an integer number (5558914384).

Almost surely, 2^11117828767 is an apocalyptic number.

11117828767 is a deficient number, since it is larger than the sum of its proper divisors (1).

11117828767 is an equidigital number, since it uses as much as digits as its factorization.

11117828767 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 263424, while the sum is 49.

The spelling of 11117828767 in words is "eleven billion, one hundred seventeen million, eight hundred twenty-eight thousand, seven hundred sixty-seven".