128388038280192 has 616 divisors, whose sum is σ = 387851735249792. Its totient is φ = 42458005094400.

The previous prime is 128388038280121. The next prime is 128388038280367. The reversal of 128388038280192 is 291082830883821.

128388038280192 is a `hidden beast` number, since 12 + 8 + 3 + 8 + 80 + 382 + 80 + 1 + 92 = 666.

128388038280192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57806409642 + ... + 57806411862.

Almost surely, 2^{128388038280192} is an apocalyptic number.

128388038280192 is a gapful number since it is divisible by the number (12) 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 128388038280192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193925867624896).

128388038280192 is an abundant number, since it is smaller than the sum of its proper divisors (259463696969600).

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

128388038280192 is an equidigital number, since it uses as much as digits as its factorization.

128388038280192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 128388038280192 in words is "one hundred twenty-eight trillion, three hundred eighty-eight billion, thirty-eight million, two hundred eighty thousand, one hundred ninety-two".