5567785998336 has 576 divisors, whose sum is σ = 16734145428000. Its totient is φ = 1782251520000.

The previous prime is 5567785998223. The next prime is 5567785998347. The reversal of 5567785998336 is 6338995877655.

5567785998336 is a `hidden beast` number, since 5 + 56 + 77 + 85 + 9 + 98 + 336 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22182414211 + ... + 22182414461.

Almost surely, 2^{5567785998336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5567785998336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367072714000).

5567785998336 is an abundant number, since it is smaller than the sum of its proper divisors (11166359429664).

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

5567785998336 is a wasteful number, since it uses less digits than its factorization.

5567785998336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 643 counting only the distinct ones).

The product of its digits is 10287648000, while the sum is 81.

The spelling of 5567785998336 in words is "five trillion, five hundred sixty-seven billion, seven hundred eighty-five million, nine hundred ninety-eight thousand, three hundred thirty-six".