11159106816 has 576 divisors, whose sum is σ = 38075304960. Its totient is φ = 2848849920.

The previous prime is 11159106781. The next prime is 11159106839. The reversal of 11159106816 is 61860195111.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80281275 + ... + 80281413.

It is an arithmetic number, because the mean of its divisors is an integer number (66102960).

Almost surely, 2^11159106816 is an apocalyptic number.

11159106816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11159106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19037652480).

11159106816 is an abundant number, since it is smaller than the sum of its proper divisors (26916198144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11159106816 is a wasteful number, since it uses less digits than its factorization.

11159106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 39.

The spelling of 11159106816 in words is "eleven billion, one hundred fifty-nine million, one hundred six thousand, eight hundred sixteen".