11728133765280 has 288 divisors, whose sum is σ = 43309111757184. Its totient is φ = 2991523746816.

The previous prime is 11728133765221. The next prime is 11728133765317. The reversal of 11728133765280 is 8256733182711.

11728133765280 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 81 + 3 + 37 + 6 + 528 + 0 = 666.

11728133765280 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5663359 + ... + 7451838.

It is an arithmetic number, because the mean of its divisors is an integer number (150378860268).

Almost surely, 2^{11728133765280} is an apocalyptic number.

11728133765280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11728133765280 is an abundant number, since it is smaller than the sum of its proper divisors (31580977991904).

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

11728133765280 is a wasteful number, since it uses less digits than its factorization.

11728133765280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13115250 (or 13115230 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 11728133765280 in words is "eleven trillion, seven hundred twenty-eight billion, one hundred thirty-three million, seven hundred sixty-five thousand, two hundred eighty".