11152028160 has 960 divisors, whose sum is σ = 49546328832. Its totient is φ = 2341011456.

The previous prime is 11152028137. The next prime is 11152028171. The reversal of 11152028160 is 6182025111.

11152028160 is a `hidden beast` number, since 1 + 1 + 1 + 520 + 2 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56609182 + ... + 56609378.

Almost surely, 2^11152028160 is an apocalyptic number.

11152028160 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 11152028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24773164416).

11152028160 is an abundant number, since it is smaller than the sum of its proper divisors (38394300672).

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

11152028160 is an equidigital number, since it uses as much as digits as its factorization.

11152028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 227 counting only the distinct ones).

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

The spelling of 11152028160 in words is "eleven billion, one hundred fifty-two million, twenty-eight thousand, one hundred sixty".