11689808866560 has 1728 divisors, whose sum is σ = 49744697184000. Its totient is φ = 2497645117440.

The previous prime is 11689808866537. The next prime is 11689808866633. The reversal of 11689808866560 is 6566880898611.

11689808866560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 3642818236 + ... + 3642821444.

It is an arithmetic number, because the mean of its divisors is an integer number (28787440500).

Almost surely, 2^{11689808866560} is an apocalyptic number.

11689808866560 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 11689808866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872348592000).

11689808866560 is an abundant number, since it is smaller than the sum of its proper divisors (38054888317440).

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

11689808866560 is a wasteful number, since it uses less digits than its factorization.

11689808866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 11689808866560 in words is "eleven trillion, six hundred eighty-nine billion, eight hundred eight million, eight hundred sixty-six thousand, five hundred sixty".