11135243443500 has 1152 divisors, whose sum is σ = 40544100350208. Its totient is φ = 2548039680000.

The previous prime is 11135243443483. The next prime is 11135243443529. The reversal of 11135243443500 is 534434253111.

11135243443500 is a `hidden beast` number, since 1 + 1 + 13 + 524 + 34 + 43 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19298515212 + ... + 19298515788.

It is an arithmetic number, because the mean of its divisors is an integer number (35194531554).

Almost surely, 2^{11135243443500} is an apocalyptic number.

11135243443500 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 11135243443500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272050175104).

11135243443500 is an abundant number, since it is smaller than the sum of its proper divisors (29408856906708).

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

11135243443500 is a wasteful number, since it uses less digits than its factorization.

11135243443500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 11135243443500 its reverse (534434253111), we get a palindrome (11669677696611).

The spelling of 11135243443500 in words is "eleven trillion, one hundred thirty-five billion, two hundred forty-three million, four hundred forty-three thousand, five hundred".