128919732480 has 1728 divisors, whose sum is σ = 595076751360. Its totient is φ = 24979046400.

The previous prime is 128919732467. The next prime is 128919732521. The reversal of 128919732480 is 84237919821.

128919732480 is a `hidden beast` number, since 1 + 2 + 8 + 91 + 9 + 73 + 2 + 480 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1448536276 + ... + 1448536364.

It is an arithmetic number, because the mean of its divisors is an integer number (344373120).

Almost surely, 2^128919732480 is an apocalyptic number.

128919732480 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 128919732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297538375680).

128919732480 is an abundant number, since it is smaller than the sum of its proper divisors (466157018880).

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

128919732480 is a wasteful number, since it uses less digits than its factorization.

128919732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 128919732480 in words is "one hundred twenty-eight billion, nine hundred nineteen million, seven hundred thirty-two thousand, four hundred eighty".