5606264473600 has 288 divisors, whose sum is σ = 15903035890560. Its totient is φ = 1920071761920.

The previous prime is 5606264473561. The next prime is 5606264473619. The reversal of 5606264473600 is 63744626065.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352299244 + ... + 352315156.

It is an arithmetic number, because the mean of its divisors is an integer number (55218874620).

Almost surely, 2^{5606264473600} is an apocalyptic number.

5606264473600 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 5606264473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951517945280).

5606264473600 is an abundant number, since it is smaller than the sum of its proper divisors (10296771416960).

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

5606264473600 is a wasteful number, since it uses less digits than its factorization.

5606264473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16935 (or 16910 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 49.

The spelling of 5606264473600 in words is "five trillion, six hundred six billion, two hundred sixty-four million, four hundred seventy-three thousand, six hundred".