478575118748160 has 960 divisors, whose sum is σ = 2067762054758400. Its totient is φ = 103631285993472.

The previous prime is 478575118748159. The next prime is 478575118748171. The reversal of 478575118748160 is 61847811575874.

478575118748160 is a `hidden beast` number, since 4 + 7 + 8 + 5 + 7 + 5 + 1 + 1 + 87 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79844481 + ... + 85628799.

It is an arithmetic number, because the mean of its divisors is an integer number (2153918807040).

Almost surely, 2^{478575118748160} is an apocalyptic number.

478575118748160 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 478575118748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033881027379200).

478575118748160 is an abundant number, since it is smaller than the sum of its proper divisors (1589186936010240).

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

478575118748160 is an equidigital number, since it uses as much as digits as its factorization.

478575118748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784383 (or 5784355 counting only the distinct ones).

The product of its (nonzero) digits is 421478400, while the sum is 72.

The spelling of 478575118748160 in words is "four hundred seventy-eight trillion, five hundred seventy-five billion, one hundred eighteen million, seven hundred forty-eight thousand, one hundred sixty".