11078080160 has 96 divisors (see below), whose sum is σ = 30357452160. Its totient is φ = 3741484032.

The previous prime is 11078080121. The next prime is 11078080271. The reversal of 11078080160 is 6108087011.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1226 + ... + 148854.

It is an arithmetic number, because the mean of its divisors is an integer number (316223460).

Almost surely, 2^11078080160 is an apocalyptic number.

11078080160 is a gapful number since it is divisible by the number (10) 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 11078080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178726080).

11078080160 is an abundant number, since it is smaller than the sum of its proper divisors (19279372000).

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

11078080160 is a wasteful number, since it uses less digits than its factorization.

11078080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147718 (or 147710 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 32.

The spelling of 11078080160 in words is "eleven billion, seventy-eight million, eighty thousand, one hundred sixty".