5606638833600 has 1008 divisors, whose sum is σ = 24052351265280. Its totient is φ = 1210036838400.

The previous prime is 5606638833547. The next prime is 5606638833637. The reversal of 5606638833600 is 63388366065.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 595622494 + ... + 595631906.

Almost surely, 2^{5606638833600} is an apocalyptic number.

5606638833600 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 5606638833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026175632640).

5606638833600 is an abundant number, since it is smaller than the sum of its proper divisors (18445712431680).

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

5606638833600 is a wasteful number, since it uses less digits than its factorization.

5606638833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9778 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 5606638833600 in words is "five trillion, six hundred six billion, six hundred thirty-eight million, eight hundred thirty-three thousand, six hundred".