425206584576 has 216 divisors, whose sum is σ = 1273300479360. Its totient is φ = 136366645248.

The previous prime is 425206584563. The next prime is 425206584581. The reversal of 425206584576 is 675485602524.

425206584576 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 0 + 6 + 584 + 57 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6355716 + ... + 6422268.

Almost surely, 2^425206584576 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 425206584576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636650239680).

425206584576 is an abundant number, since it is smaller than the sum of its proper divisors (848093894784).

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

425206584576 is a wasteful number, since it uses less digits than its factorization.

425206584576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66681 (or 66664 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 425206584576 in words is "four hundred twenty-five billion, two hundred six million, five hundred eighty-four thousand, five hundred seventy-six".