11135056512 has 96 divisors (see below), whose sum is σ = 30222493920. Its totient is φ = 3632436736.

The previous prime is 11135056511. The next prime is 11135056523. The reversal of 11135056512 is 21565053111.

11135056512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11135056512² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11135056512.

It is not an unprimeable number, because it can be changed into a prime (11135056511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 841693 + ... + 854819.

It is an arithmetic number, because the mean of its divisors is an integer number (314817645).

Almost surely, 2^11135056512 is an apocalyptic number.

11135056512 is a gapful number since it is divisible by the number (12) 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 11135056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15111246960).

11135056512 is an abundant number, since it is smaller than the sum of its proper divisors (19087437408).

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

11135056512 is an equidigital number, since it uses as much as digits as its factorization.

11135056512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13238 (or 13179 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 11135056512 in words is "eleven billion, one hundred thirty-five million, fifty-six thousand, five hundred twelve".