128233596960 has 384 divisors, whose sum is σ = 513743731200. Its totient is φ = 29264302080.

The previous prime is 128233596949. The next prime is 128233596979. The reversal of 128233596960 is 69695332821.

128233596960 is a `hidden beast` number, since 1 + 28 + 23 + 3 + 596 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 128233596897 and 128233596906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21437170 + ... + 21443150.

It is an arithmetic number, because the mean of its divisors is an integer number (1337874300).

Almost surely, 2^128233596960 is an apocalyptic number.

128233596960 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 128233596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256871865600).

128233596960 is an abundant number, since it is smaller than the sum of its proper divisors (385510134240).

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

128233596960 is a wasteful number, since it uses less digits than its factorization.

128233596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6721 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 128233596960 in words is "one hundred twenty-eight billion, two hundred thirty-three million, five hundred ninety-six thousand, nine hundred sixty".