11660357682288 has 960 divisors, whose sum is σ = 40732632944640. Its totient is φ = 3181528627200.

The previous prime is 11660357682217. The next prime is 11660357682293. The reversal of 11660357682288 is 88228675306611.

11660357682288 is a `hidden beast` number, since 1 + 16 + 603 + 5 + 7 + 6 + 8 + 2 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11766253473 + ... + 11766254463.

It is an arithmetic number, because the mean of its divisors is an integer number (42429825984).

Almost surely, 2^{11660357682288} is an apocalyptic number.

11660357682288 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 11660357682288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20366316472320).

11660357682288 is an abundant number, since it is smaller than the sum of its proper divisors (29072275262352).

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

11660357682288 is a wasteful number, since it uses less digits than its factorization.

11660357682288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 11660357682288 in words is "eleven trillion, six hundred sixty billion, three hundred fifty-seven million, six hundred eighty-two thousand, two hundred eighty-eight".