475909560000 has 2520 divisors, whose sum is σ = 2251060867440. Its totient is φ = 97929216000.

The previous prime is 475909559981. The next prime is 475909560053. The reversal of 475909560000 is 65909574.

It is a happy number.

475909560000 is a `hidden beast` number, since 4 + 7 + 590 + 9 + 56 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 359 ways as a sum of consecutive naturals, for example, 20691719989 + ... + 20691720011.

It is an arithmetic number, because the mean of its divisors is an integer number (893278122).

Almost surely, 2^475909560000 is an apocalyptic number.

475909560000 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 475909560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125530433720).

475909560000 is an abundant number, since it is smaller than the sum of its proper divisors (1775151307440).

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

475909560000 is a wasteful number, since it uses less digits than its factorization.

475909560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 475909560000 in words is "four hundred seventy-five billion, nine hundred nine million, five hundred sixty thousand".