5631216304896 has 576 divisors, whose sum is σ = 20516637245440. Its totient is φ = 1483616010240.

The previous prime is 5631216304873. The next prime is 5631216304897. The reversal of 5631216304896 is 6984036121365.

5631216304896 is a `hidden beast` number, since 5 + 6 + 3 + 121 + 6 + 30 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5631216304897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 687484161 + ... + 687492351.

Almost surely, 2^{5631216304896} is an apocalyptic number.

5631216304896 is a gapful number since it is divisible by the number (56) 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 5631216304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10258318622720).

5631216304896 is an abundant number, since it is smaller than the sum of its proper divisors (14885420940544).

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

5631216304896 is a wasteful number, since it uses less digits than its factorization.

5631216304896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9329 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 5631216304896 in words is "five trillion, six hundred thirty-one billion, two hundred sixteen million, three hundred four thousand, eight hundred ninety-six".