11553135368656 has 80 divisors (see below), whose sum is σ = 26061619949568. Its totient is φ = 4859293104000.

The previous prime is 11553135368627. The next prime is 11553135368657. The reversal of 11553135368656 is 65686353135511.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11553135368656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11553135368657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2711560 + ... + 5518951.

Almost surely, 2^{11553135368656} is an apocalyptic number.

11553135368656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11553135368656 is an abundant number, since it is smaller than the sum of its proper divisors (14508484580912).

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

11553135368656 is a wasteful number, since it uses less digits than its factorization.

11553135368656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8230760 (or 8230754 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 58.

The spelling of 11553135368656 in words is "eleven trillion, five hundred fifty-three billion, one hundred thirty-five million, three hundred sixty-eight thousand, six hundred fifty-six".