11289106038 has 64 divisors (see below), whose sum is σ = 26670440448. Its totient is φ = 3118227840.

The previous prime is 11289106021. The next prime is 11289106039. The reversal of 11289106038 is 83060198211.

It is a junction number, because it is equal to n+sod(n) for n = 11289105987 and 11289106005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289106039) 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, 220843 + ... + 267113.

It is an arithmetic number, because the mean of its divisors is an integer number (416725632).

Almost surely, 2^11289106038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11289106038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335220224).

11289106038 is an abundant number, since it is smaller than the sum of its proper divisors (15381334410).

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

11289106038 is a wasteful number, since it uses less digits than its factorization.

11289106038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46477.

The product of its (nonzero) digits is 20736, while the sum is 39.

The spelling of 11289106038 in words is "eleven billion, two hundred eighty-nine million, one hundred six thousand, thirty-eight".