475988218560 has 560 divisors, whose sum is σ = 1720360974816. Its totient is φ = 124909682688.

The previous prime is 475988218543. The next prime is 475988218567. The reversal of 475988218560 is 65812889574.

475988218560 is a `hidden beast` number, since 4 + 7 + 59 + 8 + 8 + 2 + 18 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (475988218567) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 477419982 + ... + 477420978.

Almost surely, 2^475988218560 is an apocalyptic number.

475988218560 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 475988218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860180487408).

475988218560 is an abundant number, since it is smaller than the sum of its proper divisors (1244372756256).

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

475988218560 is a wasteful number, since it uses less digits than its factorization.

475988218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 475988218560 in words is "four hundred seventy-five billion, nine hundred eighty-eight million, two hundred eighteen thousand, five hundred sixty".