11545382859552 has 96 divisors (see below), whose sum is σ = 33684963600960. Its totient is φ = 3847211781120.

The previous prime is 11545382859509. The next prime is 11545382859583. The reversal of 11545382859552 is 25595828354511.

11545382859552 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 5 + 3 + 8 + 28 + 59 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11545382859552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496552 + ... + 4830872.

It is an arithmetic number, because the mean of its divisors is an integer number (350885037510).

Almost surely, 2^{11545382859552} is an apocalyptic number.

11545382859552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11545382859552 is an abundant number, since it is smaller than the sum of its proper divisors (22139580741408).

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

11545382859552 is a wasteful number, since it uses less digits than its factorization.

11545382859552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337423 (or 4337409 counting only the distinct ones).

The product of its digits is 86400000, while the sum is 63.

The spelling of 11545382859552 in words is "eleven trillion, five hundred forty-five billion, three hundred eighty-two million, eight hundred fifty-nine thousand, five hundred fifty-two".