5307563289600 has 792 divisors, whose sum is σ = 22326031636272. Its totient is φ = 1187699097600.

The previous prime is 5307563289593. The next prime is 5307563289689. The reversal of 5307563289600 is 69823657035.

It is a happy number.

5307563289600 is a `hidden beast` number, since 5 + 3 + 0 + 7 + 5 + 6 + 3 + 28 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32866654 + ... + 33027746.

Almost surely, 2^{5307563289600} is an apocalyptic number.

5307563289600 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 5307563289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163015818136).

5307563289600 is an abundant number, since it is smaller than the sum of its proper divisors (17018468346672).

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

5307563289600 is a wasteful number, since it uses less digits than its factorization.

5307563289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161153 (or 161127 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 5307563289600 in words is "five trillion, three hundred seven billion, five hundred sixty-three million, two hundred eighty-nine thousand, six hundred".