5663220170400 has 504 divisors, whose sum is σ = 22323053537820. Its totient is φ = 1394021560320.

The previous prime is 5663220170393. The next prime is 5663220170417. The reversal of 5663220170400 is 40710223665.

5663220170400 is a `hidden beast` number, since 5 + 6 + 63 + 2 + 20 + 170 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 931603318416 + 4731616851984 = 965196^2 + 2175228^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7208116 + ... + 7955084.

Almost surely, 2^{5663220170400} is an apocalyptic number.

5663220170400 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 5663220170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11161526768910).

5663220170400 is an abundant number, since it is smaller than the sum of its proper divisors (16659833367420).

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

5663220170400 is a wasteful number, since it uses less digits than its factorization.

5663220170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747020 (or 746992 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 5663220170400 in words is "five trillion, six hundred sixty-three billion, two hundred twenty million, one hundred seventy thousand, four hundred".