11616112740 has 96 divisors (see below), whose sum is σ = 34035240960. Its totient is φ = 2954571136.

The previous prime is 11616112709. The next prime is 11616112759. The reversal of 11616112740 is 4721161611.

11616112740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11616112698 and 11616112707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483697 + ... + 507143.

It is an arithmetic number, because the mean of its divisors is an integer number (354533760).

Almost surely, 2^11616112740 is an apocalyptic number.

11616112740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11616112740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17017620480).

11616112740 is an abundant number, since it is smaller than the sum of its proper divisors (22419128220).

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

11616112740 is a wasteful number, since it uses less digits than its factorization.

11616112740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23841 (or 23839 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 11616112740 in words is "eleven billion, six hundred sixteen million, one hundred twelve thousand, seven hundred forty".