11090034513168 has 320 divisors, whose sum is σ = 32958818500608. Its totient is φ = 3186538629120.

The previous prime is 11090034513113. The next prime is 11090034513197. The reversal of 11090034513168 is 86131543009011.

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, 2358074305 + ... + 2358079007.

Almost surely, 2^{11090034513168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11090034513168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479409250304).

11090034513168 is an abundant number, since it is smaller than the sum of its proper divisors (21868783987440).

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

11090034513168 is a wasteful number, since it uses less digits than its factorization.

11090034513168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8614 (or 8608 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 11090034513168 in words is "eleven trillion, ninety billion, thirty-four million, five hundred thirteen thousand, one hundred sixty-eight".