11641160520 has 192 divisors, whose sum is σ = 42389231040. Its totient is φ = 2745792000.

The previous prime is 11641160491. The next prime is 11641160537. The reversal of 11641160520 is 2506114611.

11641160520 is a `hidden beast` number, since 1 + 1 + 641 + 16 + 0 + 5 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106795 + ... + 186245.

It is an arithmetic number, because the mean of its divisors is an integer number (220777245).

Almost surely, 2^11641160520 is an apocalyptic number.

11641160520 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 11641160520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194615520).

11641160520 is an abundant number, since it is smaller than the sum of its proper divisors (30748070520).

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

11641160520 is a wasteful number, since it uses less digits than its factorization.

11641160520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79516 (or 79509 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11641160520 in words is "eleven billion, six hundred forty-one million, one hundred sixty thousand, five hundred twenty".