11606330618550 has 144 divisors (see below), whose sum is σ = 32248911651840. Its totient is φ = 2990825622720.

The previous prime is 11606330618537. The next prime is 11606330618557. The reversal of 11606330618550 is 5581603360611.

11606330618550 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 6 + 3 + 30 + 61 + 8 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 11606330618496 and 11606330618505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11606330618557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1802332 + ... + 5144031.

It is an arithmetic number, because the mean of its divisors is an integer number (223950775360).

Almost surely, 2^{11606330618550} is an apocalyptic number.

11606330618550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11606330618550 is an abundant number, since it is smaller than the sum of its proper divisors (20642581033290).

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

11606330618550 is a wasteful number, since it uses less digits than its factorization.

11606330618550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946507 (or 6946499 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 11606330618550 in words is "eleven trillion, six hundred six billion, three hundred thirty million, six hundred eighteen thousand, five hundred fifty".