11456640256160 has 96 divisors (see below), whose sum is σ = 29534004864000. Its totient is φ = 4165046645760.

The previous prime is 11456640256121. The next prime is 11456640256177. The reversal of 11456640256160 is 6165204665411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6537266 + ... + 8102414.

It is an arithmetic number, because the mean of its divisors is an integer number (307645884000).

Almost surely, 2^{11456640256160} is an apocalyptic number.

11456640256160 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 11456640256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767002432000).

11456640256160 is an abundant number, since it is smaller than the sum of its proper divisors (18077364607840).

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

11456640256160 is a wasteful number, since it uses less digits than its factorization.

11456640256160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569334 (or 1569326 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 11456640256160 in words is "eleven trillion, four hundred fifty-six billion, six hundred forty million, two hundred fifty-six thousand, one hundred sixty".