11072875338 has 64 divisors (see below), whose sum is σ = 28411595520. Its totient is φ = 3131053056.

The previous prime is 11072875301. The next prime is 11072875339. The reversal of 11072875338 is 83357827011.

11072875338 is a `hidden beast` number, since 1 + 107 + 2 + 8 + 7 + 533 + 8 = 666.

11072875338 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11072875338² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11072875293 and 11072875302.

It is not an unprimeable number, because it can be changed into a prime (11072875339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114331 + ... + 187662.

It is an arithmetic number, because the mean of its divisors is an integer number (443931180).

Almost surely, 2^11072875338 is an apocalyptic number.

11072875338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

11072875338 is an abundant number, since it is smaller than the sum of its proper divisors (17338720182).

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

11072875338 is a wasteful number, since it uses less digits than its factorization.

11072875338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302108 (or 302102 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 11072875338 in words is "eleven billion, seventy-two million, eight hundred seventy-five thousand, three hundred thirty-eight".