128987648856 has 512 divisors, whose sum is σ = 424714752000. Its totient is φ = 35850470400.

The previous prime is 128987648851. The next prime is 128987648861. The reversal of 128987648856 is 658846789821.

128987648856 is a `hidden beast` number, since 1 + 2 + 8 + 98 + 7 + 6 + 488 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (128987648851) and next prime (128987648861).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128987648851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420155055 + ... + 420155361.

It is an arithmetic number, because the mean of its divisors is an integer number (829521000).

Almost surely, 2^128987648856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128987648856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212357376000).

128987648856 is an abundant number, since it is smaller than the sum of its proper divisors (295727103144).

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

128987648856 is a wasteful number, since it uses less digits than its factorization.

128987648856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 128987648856 in words is "one hundred twenty-eight billion, nine hundred eighty-seven million, six hundred forty-eight thousand, eight hundred fifty-six".