475265516544 has 792 divisors, whose sum is σ = 1744290376920. Its totient is φ = 123516223488.

The previous prime is 475265516543. The next prime is 475265516567. The reversal of 475265516544 is 445615562574.

475265516544 is a `hidden beast` number, since 4 + 7 + 5 + 26 + 551 + 65 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4515840000 + 470749676544 = 67200^2 + 686112^2 .

It is a super-2 number, since 2×475265516544² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475265516543) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 428552662 + ... + 428553770.

Almost surely, 2^475265516544 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 475265516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872145188460).

475265516544 is an abundant number, since it is smaller than the sum of its proper divisors (1269024860376).

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

475265516544 is a wasteful number, since it uses less digits than its factorization.

475265516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1207 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 54.

The spelling of 475265516544 in words is "four hundred seventy-five billion, two hundred sixty-five million, five hundred sixteen thousand, five hundred forty-four".