20128588480 has 672 divisors, whose sum is σ = 67248340992. Its totient is φ = 5638348800.

The previous prime is 20128588439. The next prime is 20128588531. The reversal of 20128588480 is 8488582102.

It is a self number, because there is not a number n which added to its sum of digits gives 20128588480.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105385185 + ... + 105385375.

It is an arithmetic number, because the mean of its divisors is an integer number (100071936).

Almost surely, 2^20128588480 is an apocalyptic number.

20128588480 is a gapful number since it is divisible by the number (20) 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 20128588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33624170496).

20128588480 is an abundant number, since it is smaller than the sum of its proper divisors (47119752512).

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

20128588480 is a wasteful number, since it uses less digits than its factorization.

20128588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 46.

The spelling of 20128588480 in words is "twenty billion, one hundred twenty-eight million, five hundred eighty-eight thousand, four hundred eighty".