11553536673152 has 128 divisors (see below), whose sum is σ = 24722653593600. Its totient is φ = 5368235857920.

The previous prime is 11553536673079. The next prime is 11553536673221. The reversal of 11553536673152 is 25137663535511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a junction number, because it is equal to n+sod(n) for n = 11553536673094 and 11553536673103.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9299849 + ... + 10468727.

It is an arithmetic number, because the mean of its divisors is an integer number (193145731200).

Almost surely, 2^{11553536673152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11553536673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12361326796800).

11553536673152 is an abundant number, since it is smaller than the sum of its proper divisors (13169116920448).

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

11553536673152 is a wasteful number, since it uses less digits than its factorization.

11553536673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169024 (or 1169012 counting only the distinct ones).

The product of its digits is 8505000, while the sum is 53.

The spelling of 11553536673152 in words is "eleven trillion, five hundred fifty-three billion, five hundred thirty-six million, six hundred seventy-three thousand, one hundred fifty-two".