475812398880 has 1536 divisors, whose sum is σ = 2216035584000. Its totient is φ = 94420795392.

The previous prime is 475812398821. The next prime is 475812398909. The reversal of 475812398880 is 88893218574.

475812398880 is a `hidden beast` number, since 47 + 581 + 2 + 3 + 9 + 8 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 327468234 + ... + 327469686.

It is an arithmetic number, because the mean of its divisors is an integer number (1442731500).

Almost surely, 2^475812398880 is an apocalyptic number.

475812398880 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 475812398880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108017792000).

475812398880 is an abundant number, since it is smaller than the sum of its proper divisors (1740223185120).

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

475812398880 is a wasteful number, since it uses less digits than its factorization.

475812398880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 475812398880 in words is "four hundred seventy-five billion, eight hundred twelve million, three hundred ninety-eight thousand, eight hundred eighty".