11110833607680 has 440 divisors, whose sum is σ = 40059452850912. Its totient is φ = 2944693813248.

The previous prime is 11110833607673. The next prime is 11110833607729. The reversal of 11110833607680 is 8670633801111.

11110833607680 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 0 + 8 + 33 + 607 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67517179 + ... + 67681541.

Almost surely, 2^{11110833607680} is an apocalyptic number.

11110833607680 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 11110833607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20029726425456).

11110833607680 is an abundant number, since it is smaller than the sum of its proper divisors (28948619243232).

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

11110833607680 is a wasteful number, since it uses less digits than its factorization.

11110833607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164563 (or 164536 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11110833607680 in words is "eleven trillion, one hundred ten billion, eight hundred thirty-three million, six hundred seven thousand, six hundred eighty".