11223727159680 has 576 divisors, whose sum is σ = 45182496340800. Its totient is φ = 2559852675072.

The previous prime is 11223727159621. The next prime is 11223727159721. The reversal of 11223727159680 is 8695172732211.

11223727159680 is a `hidden beast` number, since 1 + 1 + 2 + 23 + 7 + 27 + 1 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130634176 + ... + 130720064.

It is an arithmetic number, because the mean of its divisors is an integer number (78441833925).

Almost surely, 2^{11223727159680} is an apocalyptic number.

11223727159680 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 11223727159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22591248170400).

11223727159680 is an abundant number, since it is smaller than the sum of its proper divisors (33958769181120).

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

11223727159680 is a wasteful number, since it uses less digits than its factorization.

11223727159680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86391 (or 86369 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 11223727159680 in words is "eleven trillion, two hundred twenty-three billion, seven hundred twenty-seven million, one hundred fifty-nine thousand, six hundred eighty".