11688665601600 has 3360 divisors, whose sum is σ = 52782266718720. Its totient is φ = 2505360015360.

The previous prime is 11688665601593. The next prime is 11688665601611. The reversal of 11688665601600 is 610656688611.

11688665601600 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 8 + 66 + 560 + 16 + 0 + 0 = 666.

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

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 479 ways as a sum of consecutive naturals, for example, 25576948572 + ... + 25576949028.

It is an arithmetic number, because the mean of its divisors is an integer number (15709007952).

Almost surely, 2^{11688665601600} is an apocalyptic number.

11688665601600 is a gapful number since it is divisible by the number (10) 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 11688665601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26391133359360).

11688665601600 is an abundant number, since it is smaller than the sum of its proper divisors (41093601117120).

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

11688665601600 is a wasteful number, since it uses less digits than its factorization.

11688665601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11688665601600 in words is "eleven trillion, six hundred eighty-eight billion, six hundred sixty-five million, six hundred one thousand, six hundred".