5666169600 has 1296 divisors, whose sum is σ = 26570299392. Its totient is φ = 1119191040.

The previous prime is 5666169571. The next prime is 5666169601. The reversal of 5666169600 is 69616665.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5666169601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120556777 + ... + 120556823.

Almost surely, 2^5666169600 is an apocalyptic number.

5666169600 is a gapful number since it is divisible by the number (50) 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 5666169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285149696).

5666169600 is an abundant number, since it is smaller than the sum of its proper divisors (20904129792).

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

5666169600 is a wasteful number, since it uses less digits than its factorization.

5666169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 5666169600 is about 75273.9636262101. The cubic root of 5666169600 is about 1782.7749504233.

The spelling of 5666169600 in words is "five billion, six hundred sixty-six million, one hundred sixty-nine thousand, six hundred".