11657607009640 has 128 divisors (see below), whose sum is σ = 28113547806720. Its totient is φ = 4339169049600.

The previous prime is 11657607009553. The next prime is 11657607009649. The reversal of 11657607009640 is 4690070675611.

11657607009640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11657607009649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316928050 + ... + 316964830.

It is an arithmetic number, because the mean of its divisors is an integer number (219637092240).

Almost surely, 2^{11657607009640} is an apocalyptic number.

11657607009640 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 11657607009640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14056773903360).

11657607009640 is an abundant number, since it is smaller than the sum of its proper divisors (16455940797080).

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

11657607009640 is a wasteful number, since it uses less digits than its factorization.

11657607009640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46163 (or 46159 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 11657607009640 in words is "eleven trillion, six hundred fifty-seven billion, six hundred seven million, nine thousand, six hundred forty".