11786286640128 has 1408 divisors, whose sum is σ = 43062690134016. Its totient is φ = 2767454208000.

The previous prime is 11786286640111. The next prime is 11786286640157. The reversal of 11786286640128 is 82104668268711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42549771126 + ... + 42549771402.

Almost surely, 2^{11786286640128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11786286640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21531345067008).

11786286640128 is an abundant number, since it is smaller than the sum of its proper divisors (31276403493888).

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

11786286640128 is a wasteful number, since it uses less digits than its factorization.

11786286640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 11786286640128 in words is "eleven trillion, seven hundred eighty-six billion, two hundred eighty-six million, six hundred forty thousand, one hundred twenty-eight".