11534300505 has 128 divisors (see below), whose sum is σ = 26722483200. Its totient is φ = 4580831232.

The previous prime is 11534300497. The next prime is 11534300543. The reversal of 11534300505 is 50500343511.

11534300505 is a `hidden beast` number, since 1 + 153 + 4 + 3 + 0 + 0 + 505 = 666.

It is not a de Polignac number, because 11534300505 - 2³ = 11534300497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181231 + ... + 236459.

It is an arithmetic number, because the mean of its divisors is an integer number (208769400).

Almost surely, 2^11534300505 is an apocalyptic number.

11534300505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11534300505 is an abundant number, since it is smaller than the sum of its proper divisors (15188182695).

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

11534300505 is a wasteful number, since it uses less digits than its factorization.

11534300505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55280 (or 55274 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 11534300505 in words is "eleven billion, five hundred thirty-four million, three hundred thousand, five hundred five".