128067685200 has 960 divisors, whose sum is σ = 564163891200. Its totient is φ = 26869708800.

The previous prime is 128067685159. The next prime is 128067685241. The reversal of 128067685200 is 2586760821.

128067685200 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 67 + 68 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128067685159) and next prime (128067685241).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 305650591 + ... + 305651009.

It is an arithmetic number, because the mean of its divisors is an integer number (587670720).

Almost surely, 2^128067685200 is an apocalyptic number.

128067685200 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 128067685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282081945600).

128067685200 is an abundant number, since it is smaller than the sum of its proper divisors (436096206000).

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

128067685200 is a wasteful number, since it uses less digits than its factorization.

128067685200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 128067685200 in words is "one hundred twenty-eight billion, sixty-seven million, six hundred eighty-five thousand, two hundred".