475517952000 has 2352 divisors, whose sum is σ = 2229159186072. Its totient is φ = 100329062400.

The previous prime is 475517951981. The next prime is 475517952047. The reversal of 475517952000 is 259715574.

475517952000 is a `hidden beast` number, since 4 + 7 + 5 + 51 + 79 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64524128256 + 410993823744 = 254016^2 + 641088^2 .

It is a tau number, because it is divible by the number of its divisors (2352).

It is a super-2 number, since 2×475517952000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 36578303994 + ... + 36578304006.

Almost surely, 2^475517952000 is an apocalyptic number.

475517952000 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 475517952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114579593036).

475517952000 is an abundant number, since it is smaller than the sum of its proper divisors (1753641234072).

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

475517952000 is an frugal number, since it uses more digits than its factorization.

475517952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 475517952000 in words is "four hundred seventy-five billion, five hundred seventeen million, nine hundred fifty-two thousand".