11197535809680 has 960 divisors, whose sum is σ = 44329891776768. Its totient is φ = 2502511165440.

The previous prime is 11197535809679. The next prime is 11197535809693. The reversal of 11197535809680 is 8690853579111.

11197535809680 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 7 + 535 + 8 + 0 + 96 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6757715412 + ... + 6757717068.

Almost surely, 2^{11197535809680} is an apocalyptic number.

11197535809680 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 11197535809680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22164945888384).

11197535809680 is an abundant number, since it is smaller than the sum of its proper divisors (33132355967088).

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

11197535809680 is a wasteful number, since it uses less digits than its factorization.

11197535809680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 63.

The spelling of 11197535809680 in words is "eleven trillion, one hundred ninety-seven billion, five hundred thirty-five million, eight hundred nine thousand, six hundred eighty".