11089406880000 has 270 divisors, whose sum is σ = 39954083142974. Its totient is φ = 2957174784000.

The previous prime is 11089406879963. The next prime is 11089406880049. The reversal of 11089406880000 is 8860498011.

It can be written as a sum of positive squares in 5 ways, for example, as 5620768505856 + 5468638374144 = 2370816^2 + 2338512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2410489 + ... + 5290488.

Almost surely, 2^{11089406880000} is an apocalyptic number.

11089406880000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11089406880000 is an abundant number, since it is smaller than the sum of its proper divisors (28864676262974).

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

11089406880000 is an frugal number, since it uses more digits than its factorization.

11089406880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7701019 (or 7700987 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11089406880000 in words is "eleven trillion, eighty-nine billion, four hundred six million, eight hundred eighty thousand".