11406553235360 has 48 divisors (see below), whose sum is σ = 26966178380232. Its totient is φ = 4559540428800.

The previous prime is 11406553235353. The next prime is 11406553235417. The reversal of 11406553235360 is 6353235560411.

It can be written as a sum of positive squares in 4 ways, for example, as 8751491557264 + 2655061678096 = 2958292^2 + 1629436^2 .

It is a super-3 number, since 3×11406553235360³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23831561 + ... + 24305480.

Almost surely, 2^{11406553235360} is an apocalyptic number.

11406553235360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11406553235360 is an abundant number, since it is smaller than the sum of its proper divisors (15559625144872).

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

11406553235360 is a wasteful number, since it uses less digits than its factorization.

11406553235360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48138537 (or 48138529 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 44.

Adding to 11406553235360 its reverse (6353235560411), we get a palindrome (17759788795771).

The spelling of 11406553235360 in words is "eleven trillion, four hundred six billion, five hundred fifty-three million, two hundred thirty-five thousand, three hundred sixty".