128693883888 has 320 divisors, whose sum is σ = 410373734400. Its totient is φ = 38407311360.

The previous prime is 128693883869. The next prime is 128693883907. The reversal of 128693883888 is 888388396821.

128693883888 is a `hidden beast` number, since 1 + 2 + 86 + 93 + 88 + 388 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (128693883869) and next prime (128693883907).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32260198 + ... + 32264186.

It is an arithmetic number, because the mean of its divisors is an integer number (1282417920).

Almost surely, 2^128693883888 is an apocalyptic number.

128693883888 is a gapful number since it is divisible by the number (18) 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 128693883888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205186867200).

128693883888 is an abundant number, since it is smaller than the sum of its proper divisors (281679850512).

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

128693883888 is a wasteful number, since it uses less digits than its factorization.

128693883888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4225 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 72.

The spelling of 128693883888 in words is "one hundred twenty-eight billion, six hundred ninety-three million, eight hundred eighty-three thousand, eight hundred eighty-eight".