11666705352960 has 864 divisors, whose sum is σ = 45042962146560. Its totient is φ = 2520690720768.

The previous prime is 11666705352919. The next prime is 11666705353013. The reversal of 11666705352960 is 6925350766611.

It is a super-2 number, since 2×11666705352960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 11666705352960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5521392864 + ... + 5521394976.

It is an arithmetic number, because the mean of its divisors is an integer number (52133058040).

Almost surely, 2^{11666705352960} is an apocalyptic number.

11666705352960 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 11666705352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521481073280).

11666705352960 is an abundant number, since it is smaller than the sum of its proper divisors (33376256793600).

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

11666705352960 is a wasteful number, since it uses less digits than its factorization.

11666705352960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 57.

The spelling of 11666705352960 in words is "eleven trillion, six hundred sixty-six billion, seven hundred five million, three hundred fifty-two thousand, nine hundred sixty".