5567417856000 has 4992 divisors, whose sum is σ = 28934044618752. Its totient is φ = 990904320000.

The previous prime is 5567417855963. The next prime is 5567417856019. The reversal of 5567417856000 is 6587147655.

It is a happy number.

5567417856000 is a `hidden beast` number, since 5 + 5 + 6 + 7 + 4 + 1 + 78 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×5567417856000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 78414335965 + ... + 78414336035.

It is an arithmetic number, because the mean of its divisors is an integer number (5796082656).

Almost surely, 2^{5567417856000} is an apocalyptic number.

5567417856000 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 5567417856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14467022309376).

5567417856000 is an abundant number, since it is smaller than the sum of its proper divisors (23366626762752).

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

5567417856000 is a wasteful number, since it uses less digits than its factorization.

5567417856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 5567417856000 in words is "five trillion, five hundred sixty-seven billion, four hundred seventeen million, eight hundred fifty-six thousand".