11616105956 has 48 divisors (see below), whose sum is σ = 25126867584. Its totient is φ = 4575626496.

The previous prime is 11616105929. The next prime is 11616105959. The reversal of 11616105956 is 65950161611.

It is not an unprimeable number, because it can be changed into a prime (11616105959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16331 + ... + 153293.

It is an arithmetic number, because the mean of its divisors is an integer number (523476408).

Almost surely, 2^11616105956 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 11616105956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563433792).

11616105956 is an abundant number, since it is smaller than the sum of its proper divisors (13510761628).

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

11616105956 is a wasteful number, since it uses less digits than its factorization.

11616105956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137220 (or 137218 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 41.

The spelling of 11616105956 in words is "eleven billion, six hundred sixteen million, one hundred five thousand, nine hundred fifty-six".