478062100000 has 288 divisors, whose sum is σ = 1288690799760. Its totient is φ = 173752320000.

The previous prime is 478062099967. The next prime is 478062100001. The reversal of 478062100000 is 1260874.

It can be written as a sum of positive squares in 24 ways, for example, as 412826810256 + 65235289744 = 642516^2 + 255412^2 .

It is not an unprimeable number, because it can be changed into a prime (478062100001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49295152 + ... + 49304848.

Almost surely, 2^478062100000 is an apocalyptic number.

478062100000 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 478062100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644345399880).

478062100000 is an abundant number, since it is smaller than the sum of its proper divisors (810628699760).

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

478062100000 is an equidigital number, since it uses as much as digits as its factorization.

478062100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 478062100000 its reverse (1260874), we get a palindrome (478063360874).

The spelling of 478062100000 in words is "four hundred seventy-eight billion, sixty-two million, one hundred thousand".