475856160355840 has 320 divisors, whose sum is σ = 1313924340960000. Its totient is φ = 163461527470080.

The previous prime is 475856160355799. The next prime is 475856160355861. The reversal of 475856160355840 is 48553061658574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 185454771 + ... + 188003149.

It is an arithmetic number, because the mean of its divisors is an integer number (4106013565500).

Almost surely, 2^{475856160355840} is an apocalyptic number.

475856160355840 is a gapful number since it is divisible by the number (40) 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 475856160355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656962170480000).

475856160355840 is an abundant number, since it is smaller than the sum of its proper divisors (838068180604160).

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

475856160355840 is a wasteful number, since it uses less digits than its factorization.

475856160355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548781 (or 2548765 counting only the distinct ones).

The product of its (nonzero) digits is 483840000, while the sum is 67.

The spelling of 475856160355840 in words is "four hundred seventy-five trillion, eight hundred fifty-six billion, one hundred sixty million, three hundred fifty-five thousand, eight hundred forty".