128658309552000 has 768 divisors, whose sum is σ = 507342861305280. Its totient is φ = 32290696396800.

The previous prime is 128658309551987. The next prime is 128658309552011. The reversal of 128658309552000 is 255903856821.

It is a happy number.

128658309552000 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 5 + 83 + 0 + 9 + 552 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65122732 + ... + 67069268.

Almost surely, 2^{128658309552000} is an apocalyptic number.

128658309552000 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 128658309552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253671430652640).

128658309552000 is an abundant number, since it is smaller than the sum of its proper divisors (378684551753280).

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

128658309552000 is an equidigital number, since it uses as much as digits as its factorization.

128658309552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946598 (or 1946564 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 128658309552000 in words is "one hundred twenty-eight trillion, six hundred fifty-eight billion, three hundred nine million, five hundred fifty-two thousand".