11179771084800 has 540 divisors, whose sum is σ = 40416060324640. Its totient is φ = 2953814999040.

The previous prime is 11179771084793. The next prime is 11179771084817. The reversal of 11179771084800 is 848017797111.

It is a happy number.

11179771084800 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 97 + 71 + 0 + 8 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 401803689 + ... + 401831511.

Almost surely, 2^{11179771084800} is an apocalyptic number.

11179771084800 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 11179771084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20208030162320).

11179771084800 is an abundant number, since it is smaller than the sum of its proper divisors (29236289239840).

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

11179771084800 is a wasteful number, since it uses less digits than its factorization.

11179771084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27976 (or 27942 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 54.

The spelling of 11179771084800 in words is "eleven trillion, one hundred seventy-nine billion, seven hundred seventy-one million, eighty-four thousand, eight hundred".