11160585520128 has 880 divisors, whose sum is σ = 36922967200000. Its totient is φ = 3329617674240.

The previous prime is 11160585520121. The next prime is 11160585520163. The reversal of 11160585520128 is 82102558506111.

11160585520128 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 0 + 585 + 52 + 0 + 12 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11160585520121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31978754898 + ... + 31978755246.

Almost surely, 2^{11160585520128} is an apocalyptic number.

11160585520128 is a gapful number since it is divisible by the number (18) 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 11160585520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461483600000).

11160585520128 is an abundant number, since it is smaller than the sum of its proper divisors (25762381679872).

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

11160585520128 is an frugal number, since it uses more digits than its factorization.

11160585520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 45.

The spelling of 11160585520128 in words is "eleven trillion, one hundred sixty billion, five hundred eighty-five million, five hundred twenty thousand, one hundred twenty-eight".