5665997200000 has 384 divisors, whose sum is σ = 14541057906480. Its totient is φ = 2198016000000.

The previous prime is 5665997199979. The next prime is 5665997200007. The reversal of 5665997200000 is 27995665.

It can be written as a sum of positive squares in 24 ways, for example, as 5618378977344 + 47618222656 = 2370312^2 + 218216^2 .

It is not an unprimeable number, because it can be changed into a prime (5665997200007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1781198410 + ... + 1781201590.

Almost surely, 2^{5665997200000} is an apocalyptic number.

5665997200000 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 5665997200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270528953240).

5665997200000 is an abundant number, since it is smaller than the sum of its proper divisors (8875060706480).

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

5665997200000 is an frugal number, since it uses more digits than its factorization.

5665997200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

The spelling of 5665997200000 in words is "five trillion, six hundred sixty-five billion, nine hundred ninety-seven million, two hundred thousand".