11151600516 has 216 divisors, whose sum is σ = 33477312960. Its totient is φ = 3120163200.

The previous prime is 11151600497. The next prime is 11151600527. The reversal of 11151600516 is 61500615111.

11151600516 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 1 + 600 + 51 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11151600516.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33690471 + ... + 33690801.

It is an arithmetic number, because the mean of its divisors is an integer number (154987560).

Almost surely, 2^11151600516 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 11151600516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738656480).

11151600516 is an abundant number, since it is smaller than the sum of its proper divisors (22325712444).

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

11151600516 is a wasteful number, since it uses less digits than its factorization.

11151600516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

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

The spelling of 11151600516 in words is "eleven billion, one hundred fifty-one million, six hundred thousand, five hundred sixteen".