128593960000 has 315 divisors, whose sum is σ = 352658287443. Its totient is φ = 46474560000.

The previous prime is 128593959961. The next prime is 128593960003. The reversal of 128593960000 is 69395821.

It is a happy number.

The square root of 128593960000 is 358600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10081766464 + 118512193536 = 100408^2 + 344256^2 .

It is not an unprimeable number, because it can be changed into a prime (128593960003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 788919919 + ... + 788920081.

Almost surely, 2^128593960000 is an apocalyptic number.

128593960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128593960000 is the 358600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128593960000

128593960000 is an abundant number, since it is smaller than the sum of its proper divisors (224064327443).

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

128593960000 is an frugal number, since it uses more digits than its factorization.

128593960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 128593960000 in words is "one hundred twenty-eight billion, five hundred ninety-three million, nine hundred sixty thousand".