128679969600 has 1008 divisors, whose sum is σ = 583912155008. Its totient is φ = 27142594560.

The previous prime is 128679969581. The next prime is 128679969623. The reversal of 128679969600 is 6969976821.

It is a happy number.

128679969600 is a `hidden beast` number, since 12 + 8 + 6 + 7 + 9 + 9 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35378982 + ... + 35382618.

Almost surely, 2^128679969600 is an apocalyptic number.

128679969600 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 128679969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291956077504).

128679969600 is an abundant number, since it is smaller than the sum of its proper divisors (455232185408).

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

128679969600 is a wasteful number, since it uses less digits than its factorization.

128679969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 128679969600 in words is "one hundred twenty-eight billion, six hundred seventy-nine million, nine hundred sixty-nine thousand, six hundred".