11071611516 has 96 divisors (see below), whose sum is σ = 29877507072. Its totient is φ = 3125606400.

The previous prime is 11071611479. The next prime is 11071611521. The reversal of 11071611516 is 61511617011.

It is a super-2 number, since 2×11071611516² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5488140 + ... + 5490156.

It is an arithmetic number, because the mean of its divisors is an integer number (311224032).

Almost surely, 2^11071611516 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 11071611516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938753536).

11071611516 is an abundant number, since it is smaller than the sum of its proper divisors (18805895556).

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

11071611516 is a wasteful number, since it uses less digits than its factorization.

11071611516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 30.

The spelling of 11071611516 in words is "eleven billion, seventy-one million, six hundred eleven thousand, five hundred sixteen".