11082891597967 has 24 divisors (see below), whose sum is σ = 13254687866112. Its totient is φ = 9234724690800.

The previous prime is 11082891597959. The next prime is 11082891597971. The reversal of 11082891597967 is 76979519828011.

It is not a de Polignac number, because 11082891597967 - 2³ = 11082891597959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11082891597967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11082891597067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12019959 + ... + 12909112.

It is an arithmetic number, because the mean of its divisors is an integer number (552278661088).

Almost surely, 2^{11082891597967} is an apocalyptic number.

11082891597967 is a deficient number, since it is larger than the sum of its proper divisors (2171796268145).

11082891597967 is a wasteful number, since it uses less digits than its factorization.

11082891597967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24929339 (or 24929332 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 73.

The spelling of 11082891597967 in words is "eleven trillion, eighty-two billion, eight hundred ninety-one million, five hundred ninety-seven thousand, nine hundred sixty-seven".