566894409088896 has 384 divisors, whose sum is σ = 1963049437440000. Its totient is φ = 153399282167808.

The previous prime is 566894409088807. The next prime is 566894409088907. The reversal of 566894409088896 is 698880904498665.

566894409088896 is a `hidden beast` number, since 5 + 6 + 6 + 8 + 9 + 440 + 9 + 0 + 88 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514101790 + ... + 515203298.

It is an arithmetic number, because the mean of its divisors is an integer number (5112107910000).

Almost surely, 2^{566894409088896} is an apocalyptic number.

566894409088896 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 566894409088896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981524718720000).

566894409088896 is an abundant number, since it is smaller than the sum of its proper divisors (1396155028351104).

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

566894409088896 is a wasteful number, since it uses less digits than its factorization.

566894409088896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104914 (or 1104899 counting only the distinct ones).

The product of its (nonzero) digits is 51597803520, while the sum is 90.

The spelling of 566894409088896 in words is "five hundred sixty-six trillion, eight hundred ninety-four billion, four hundred nine million, eighty-eight thousand, eight hundred ninety-six".