11641286160 has 240 divisors, whose sum is σ = 46122286080. Its totient is φ = 2574996480.

The previous prime is 11641286147. The next prime is 11641286161. The reversal of 11641286160 is 6168214611.

11641286160 is a `hidden beast` number, since 1 + 1 + 6 + 412 + 86 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11641286161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118986 + ... + 193494.

It is an arithmetic number, because the mean of its divisors is an integer number (192176192).

Almost surely, 2^11641286160 is an apocalyptic number.

11641286160 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 11641286160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23061143040).

11641286160 is an abundant number, since it is smaller than the sum of its proper divisors (34480999920).

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

11641286160 is a wasteful number, since it uses less digits than its factorization.

11641286160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74566 (or 74557 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11641286160 in words is "eleven billion, six hundred forty-one million, two hundred eighty-six thousand, one hundred sixty".