1566211168000 has 144 divisors (see below), whose sum is σ = 3967761863520. Its totient is φ = 615865344000.

The previous prime is 1566211167929. The next prime is 1566211168009. The reversal of 1566211168000 is 8611126651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1566211168009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1473220 + ... + 2302780.

It is an arithmetic number, because the mean of its divisors is an integer number (27553901830).

Almost surely, 2^{1566211168000} is an apocalyptic number.

1566211168000 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 1566211168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983880931760).

1566211168000 is an abundant number, since it is smaller than the sum of its proper divisors (2401550695520).

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

1566211168000 is an frugal number, since it uses more digits than its factorization.

1566211168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829651 (or 829627 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 1566211168000 in words is "one trillion, five hundred sixty-six billion, two hundred eleven million, one hundred sixty-eight thousand".