11120512666560 has 1792 divisors, whose sum is σ = 42316903415808. Its totient is φ = 2467691888640.

The previous prime is 11120512666429. The next prime is 11120512666567. The reversal of 11120512666560 is 6566621502111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120512666567) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 114644460432 + ... + 114644460528.

It is an arithmetic number, because the mean of its divisors is an integer number (23614343424).

Almost surely, 2^{11120512666560} is an apocalyptic number.

11120512666560 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 11120512666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21158451707904).

11120512666560 is an abundant number, since it is smaller than the sum of its proper divisors (31196390749248).

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

11120512666560 is a wasteful number, since it uses less digits than its factorization.

11120512666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 11120512666560 in words is "eleven trillion, one hundred twenty billion, five hundred twelve million, six hundred sixty-six thousand, five hundred sixty".