11353525534120 has 256 divisors, whose sum is σ = 33530364979200. Its totient is φ = 3351984768000.

The previous prime is 11353525534097. The next prime is 11353525534163. The reversal of 11353525534120 is 2143552535311.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 531994650 + ... + 532015990.

It is an arithmetic number, because the mean of its divisors is an integer number (130977988200).

Almost surely, 2^{11353525534120} is an apocalyptic number.

11353525534120 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 11353525534120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765182489600).

11353525534120 is an abundant number, since it is smaller than the sum of its proper divisors (22176839445080).

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

11353525534120 is a wasteful number, since it uses less digits than its factorization.

11353525534120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30480 (or 30476 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 11353525534120 in words is "eleven trillion, three hundred fifty-three billion, five hundred twenty-five million, five hundred thirty-four thousand, one hundred twenty".