11221580160 has 768 divisors, whose sum is σ = 47930616000. Its totient is φ = 2471067648.

The previous prime is 11221580159. The next prime is 11221580171. The reversal of 11221580160 is 6108512211.

11221580160 is a `hidden beast` number, since 1 + 1 + 2 + 21 + 580 + 1 + 60 = 666.

11221580160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11221580160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24554652 + ... + 24555108.

Almost surely, 2^11221580160 is an apocalyptic number.

11221580160 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 11221580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23965308000).

11221580160 is an abundant number, since it is smaller than the sum of its proper divisors (36709035840).

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

11221580160 is a wasteful number, since it uses less digits than its factorization.

11221580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 11221580160 in words is "eleven billion, two hundred twenty-one million, five hundred eighty thousand, one hundred sixty".