11506110516 has 72 divisors (see below), whose sum is σ = 30636788000. Its totient is φ = 3631003200.

The previous prime is 11506110509. The next prime is 11506110559. The reversal of 11506110516 is 61501160511.

It is a self number, because there is not a number n which added to its sum of digits gives 11506110516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157166 + ... + 1167066.

Almost surely, 2^11506110516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11506110516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15318394000).

11506110516 is an abundant number, since it is smaller than the sum of its proper divisors (19130677484).

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

11506110516 is a wasteful number, since it uses less digits than its factorization.

11506110516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11624 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 11506110516 in words is "eleven billion, five hundred six million, one hundred ten thousand, five hundred sixteen".