128315959920 has 80 divisors (see below), whose sum is σ = 441977202720. Its totient is φ = 34217588736.

The previous prime is 128315959909. The next prime is 128315959969. The reversal of 128315959920 is 29959513821.

It is a happy number.

128315959920 is a `hidden beast` number, since 1 + 28 + 3 + 1 + 5 + 9 + 599 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29700609 + ... + 29704928.

It is an arithmetic number, because the mean of its divisors is an integer number (5524715034).

Almost surely, 2^128315959920 is an apocalyptic number.

128315959920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128315959920 is an abundant number, since it is smaller than the sum of its proper divisors (313661242800).

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

128315959920 is a wasteful number, since it uses less digits than its factorization.

128315959920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59405559 (or 59405547 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 128315959920 in words is "one hundred twenty-eight billion, three hundred fifteen million, nine hundred fifty-nine thousand, nine hundred twenty".