11034710568 has 256 divisors, whose sum is σ = 36267264000. Its totient is φ = 3043256832.

The previous prime is 11034710567. The next prime is 11034710623. The reversal of 11034710568 is 86501743011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11034710563) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5785471 + ... + 5787377.

It is an arithmetic number, because the mean of its divisors is an integer number (141669000).

Almost surely, 2^11034710568 is an apocalyptic number.

11034710568 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 11034710568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18133632000).

11034710568 is an abundant number, since it is smaller than the sum of its proper divisors (25232553432).

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

11034710568 is a wasteful number, since it uses less digits than its factorization.

11034710568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 11034710568 in words is "eleven billion, thirty-four million, seven hundred ten thousand, five hundred sixty-eight".