475117056000 has 416 divisors, whose sum is σ = 1756713940800. Its totient is φ = 126694195200.

The previous prime is 475117055951. The next prime is 475117056013. The reversal of 475117056000 is 650711574.

475117056000 is a `hidden beast` number, since 47 + 5 + 1 + 1 + 7 + 0 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 13806816 + ... + 13841184.

It is an arithmetic number, because the mean of its divisors is an integer number (4222870050).

Almost surely, 2^475117056000 is an apocalyptic number.

475117056000 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 475117056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878356970400).

475117056000 is an abundant number, since it is smaller than the sum of its proper divisors (1281596884800).

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

475117056000 is an equidigital number, since it uses as much as digits as its factorization.

475117056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34417 (or 34379 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

Adding to 475117056000 its reverse (650711574), we get a palindrome (475767767574).

The spelling of 475117056000 in words is "four hundred seventy-five billion, one hundred seventeen million, fifty-six thousand".