11080045831680 has 2400 divisors, whose sum is σ = 49337487555840. Its totient is φ = 2364421570560.

The previous prime is 11080045831669. The next prime is 11080045831681. The reversal of 11080045831680 is 8613854008011.

11080045831680 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 0 + 0 + 4 + 583 + 1 + 68 + 0 = 666.

It is a super-3 number, since 3×11080045831680³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11080045831681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9134414754 + ... + 9134415966.

Almost surely, 2^{11080045831680} is an apocalyptic number.

11080045831680 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 11080045831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24668743777920).

11080045831680 is an abundant number, since it is smaller than the sum of its proper divisors (38257441724160).

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

11080045831680 is a wasteful number, since it uses less digits than its factorization.

11080045831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

Adding to 11080045831680 its reverse (8613854008011), we get a palindrome (19693899839691).

The spelling of 11080045831680 in words is "eleven trillion, eighty billion, forty-five million, eight hundred thirty-one thousand, six hundred eighty".