11195744560 has 320 divisors, whose sum is σ = 35151750144. Its totient is φ = 3202560000.

The previous prime is 11195744543. The next prime is 11195744591. The reversal of 11195744560 is 6544759111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20099802 + ... + 20100358.

Almost surely, 2^11195744560 is an apocalyptic number.

11195744560 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 11195744560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575875072).

11195744560 is an abundant number, since it is smaller than the sum of its proper divisors (23956005584).

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

11195744560 is a wasteful number, since it uses less digits than its factorization.

11195744560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 11195744560 in words is "eleven billion, one hundred ninety-five million, seven hundred forty-four thousand, five hundred sixty".