11533901534208 has 352 divisors, whose sum is σ = 34912321920000. Its totient is φ = 3760372408320.

The previous prime is 11533901534179. The next prime is 11533901534257. The reversal of 11533901534208 is 80243510933511.

11533901534208 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 3 + 90 + 1 + 534 + 20 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324597403 + ... + 324632933.

Almost surely, 2^{11533901534208} is an apocalyptic number.

11533901534208 is a gapful number since it is divisible by the number (18) 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 11533901534208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17456160960000).

11533901534208 is an abundant number, since it is smaller than the sum of its proper divisors (23378420385792).

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

11533901534208 is a wasteful number, since it uses less digits than its factorization.

11533901534208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35818 (or 35794 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 11533901534208 in words is "eleven trillion, five hundred thirty-three billion, nine hundred one million, five hundred thirty-four thousand, two hundred eight".