475589665152 has 768 divisors, whose sum is σ = 1755844646400. Its totient is φ = 120283398144.

The previous prime is 475589665093. The next prime is 475589665181. The reversal of 475589665152 is 251566985574.

475589665152 is a `hidden beast` number, since 4 + 7 + 5 + 58 + 9 + 66 + 515 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 475589665152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408932923 + ... + 408934085.

It is an arithmetic number, because the mean of its divisors is an integer number (2286256050).

Almost surely, 2^475589665152 is an apocalyptic number.

475589665152 is a gapful number since it is divisible by the number (42) 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 475589665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877922323200).

475589665152 is an abundant number, since it is smaller than the sum of its proper divisors (1280254981248).

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

475589665152 is a wasteful number, since it uses less digits than its factorization.

475589665152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1368 counting only the distinct ones).

The product of its digits is 90720000, while the sum is 63.

The spelling of 475589665152 in words is "four hundred seventy-five billion, five hundred eighty-nine million, six hundred sixty-five thousand, one hundred fifty-two".