566335397134080 has 1152 divisors, whose sum is σ = 2461212436838400. Its totient is φ = 120365551190016.

The previous prime is 566335397134033. The next prime is 566335397134127. The reversal of 566335397134080 is 80431793533665.

566335397134080 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 3 + 539 + 7 + 13 + 4 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (566335397134033) and next prime (566335397134127).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×566335397134080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 566335397133999 and 566335397134017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340519566 + ... + 342178674.

It is an arithmetic number, because the mean of its divisors is an integer number (2136469129200).

Almost surely, 2^{566335397134080} 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 566335397134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230606218419200).

566335397134080 is an abundant number, since it is smaller than the sum of its proper divisors (1894877039704320).

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

566335397134080 is a wasteful number, since it uses less digits than its factorization.

566335397134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659246 (or 1659226 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 566335397134080 in words is "five hundred sixty-six trillion, three hundred thirty-five billion, three hundred ninety-seven million, one hundred thirty-four thousand, eighty".