11521016514 has 144 divisors (see below), whose sum is σ = 30131502336. Its totient is φ = 3168849600.

The previous prime is 11521016513. The next prime is 11521016519. The reversal of 11521016514 is 41561012511.

11521016514 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 1 + 0 + 1 + 651 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (11521016513) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5768164 + ... + 5770160.

It is an arithmetic number, because the mean of its divisors is an integer number (209246544).

Almost surely, 2^11521016514 is an apocalyptic number.

11521016514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11521016514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065751168).

11521016514 is an abundant number, since it is smaller than the sum of its proper divisors (18610485822).

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

11521016514 is a wasteful number, since it uses less digits than its factorization.

11521016514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 11521016514 in words is "eleven billion, five hundred twenty-one million, sixteen thousand, five hundred fourteen".