128587979520 has 2592 divisors, whose sum is σ = 641222749440. Its totient is φ = 24246190080.

The previous prime is 128587979501. The next prime is 128587979539. The reversal of 128587979520 is 25979785821.

128587979520 is a `hidden beast` number, since 1 + 28 + 5 + 87 + 9 + 7 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (128587979501) and next prime (128587979539).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 2179457251 + ... + 2179457309.

It is an arithmetic number, because the mean of its divisors is an integer number (247385320).

Almost surely, 2^128587979520 is an apocalyptic number.

128587979520 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 128587979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320611374720).

128587979520 is an abundant number, since it is smaller than the sum of its proper divisors (512634769920).

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

128587979520 is a wasteful number, since it uses less digits than its factorization.

128587979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 128587979520 in words is "one hundred twenty-eight billion, five hundred eighty-seven million, nine hundred seventy-nine thousand, five hundred twenty".