128585472480 has 288 divisors, whose sum is σ = 456102620064. Its totient is φ = 32959623168.

The previous prime is 128585472391. The next prime is 128585472481. The reversal of 128585472480 is 84274585821.

128585472480 is a `hidden beast` number, since 1 + 2 + 8 + 58 + 547 + 2 + 48 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128585472481) 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, 4407702 + ... + 4436778.

It is an arithmetic number, because the mean of its divisors is an integer number (1583689653).

Almost surely, 2^128585472480 is an apocalyptic number.

128585472480 is a gapful number since it is divisible by the number (10) 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 128585472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228051310032).

128585472480 is an abundant number, since it is smaller than the sum of its proper divisors (327517147584).

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

128585472480 is a wasteful number, since it uses less digits than its factorization.

128585472480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29218 (or 29207 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 128585472480 in words is "one hundred twenty-eight billion, five hundred eighty-five million, four hundred seventy-two thousand, four hundred eighty".