11505435384240 has 720 divisors, whose sum is σ = 48082357657152. Its totient is φ = 2449589796864.

The previous prime is 11505435384197. The next prime is 11505435384251. The reversal of 11505435384240 is 4248353450511.

11505435384240 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 54 + 353 + 8 + 4 + 240 = 666.

11505435384240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58077837 + ... + 58275603.

Almost surely, 2^{11505435384240} is an apocalyptic number.

11505435384240 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 11505435384240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24041178828576).

11505435384240 is an abundant number, since it is smaller than the sum of its proper divisors (36576922272912).

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

11505435384240 is a wasteful number, since it uses less digits than its factorization.

11505435384240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197914 (or 197898 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 11505435384240 in words is "eleven trillion, five hundred five billion, four hundred thirty-five million, three hundred eighty-four thousand, two hundred forty".