475543252800 has 2016 divisors, whose sum is σ = 2278234183680. Its totient is φ = 91116748800.

The previous prime is 475543252753. The next prime is 475543252819. The reversal of 475543252800 is 8252345574.

475543252800 is a `hidden beast` number, since 4 + 7 + 5 + 543 + 25 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×475543252800² (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 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 287 ways as a sum of consecutive naturals, for example, 739569279 + ... + 739569921.

It is an arithmetic number, because the mean of its divisors is an integer number (1130076480).

Almost surely, 2^475543252800 is an apocalyptic number.

475543252800 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 475543252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139117091840).

475543252800 is an abundant number, since it is smaller than the sum of its proper divisors (1802690930880).

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

475543252800 is a wasteful number, since it uses less digits than its factorization.

475543252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 475543252800 in words is "four hundred seventy-five billion, five hundred forty-three million, two hundred fifty-two thousand, eight hundred".