11586650388768 has 1080 divisors, whose sum is σ = 45183895107120. Its totient is φ = 2894885360640.

The previous prime is 11586650388757. The next prime is 11586650388821. The reversal of 11586650388768 is 86788305668511.

11586650388768 is a `hidden beast` number, since 1 + 1 + 58 + 6 + 6 + 503 + 8 + 8 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11586650388696 and 11586650388705.

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 179 ways as a sum of consecutive naturals, for example, 407808483 + ... + 407836893.

It is an arithmetic number, because the mean of its divisors is an integer number (41836939914).

Almost surely, 2^{11586650388768} is an apocalyptic number.

11586650388768 is a gapful number since it is divisible by the number (18) 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 11586650388768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22591947553560).

11586650388768 is an abundant number, since it is smaller than the sum of its proper divisors (33597244718352).

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

11586650388768 is a wasteful number, since it uses less digits than its factorization.

11586650388768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28492 (or 28455 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 11586650388768 in words is "eleven trillion, five hundred eighty-six billion, six hundred fifty million, three hundred eighty-eight thousand, seven hundred sixty-eight".