480127552128 has 288 divisors, whose sum is σ = 1701730997460. Its totient is φ = 129109671936.

The previous prime is 480127552127. The next prime is 480127552153. The reversal of 480127552128 is 821255721084.

480127552128 is a `hidden beast` number, since 4 + 80 + 1 + 2 + 7 + 552 + 12 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 365986281024 + 114141271104 = 604968^2 + 337848^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (480127552127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 709450 + ... + 1209782.

Almost surely, 2^480127552128 is an apocalyptic number.

480127552128 is a gapful number since it is divisible by the number (48) 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 480127552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850865498730).

480127552128 is an abundant number, since it is smaller than the sum of its proper divisors (1221603445332).

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

480127552128 is a wasteful number, since it uses less digits than its factorization.

480127552128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500384 (or 500362 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 480127552128 in words is "four hundred eighty billion, one hundred twenty-seven million, five hundred fifty-two thousand, one hundred twenty-eight".