11553385536 has 448 divisors, whose sum is σ = 43727339520. Its totient is φ = 2903040000.

The previous prime is 11553385477. The next prime is 11553385601. The reversal of 11553385536 is 63558335511.

11553385536 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 33 + 85 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11553385491 and 11553385500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4123336 + ... + 4126136.

Almost surely, 2^11553385536 is an apocalyptic number.

11553385536 is a gapful number since it is divisible by the number (16) 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 11553385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21863669760).

11553385536 is an abundant number, since it is smaller than the sum of its proper divisors (32173953984).

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

11553385536 is a wasteful number, since it uses less digits than its factorization.

11553385536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2855 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The spelling of 11553385536 in words is "eleven billion, five hundred fifty-three million, three hundred eighty-five thousand, five hundred thirty-six".