128329019280 has 1680 divisors, whose sum is σ = 605288080512. Its totient is φ = 24485068800.

The previous prime is 128329019279. The next prime is 128329019323. The reversal of 128329019280 is 82910923821.

It is a happy number.

128329019280 is a `hidden beast` number, since 1 + 2 + 83 + 290 + 1 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×128329019280² (a number of 23 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3129976060 + ... + 3129976100.

Almost surely, 2^128329019280 is an apocalyptic number.

128329019280 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 128329019280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302644040256).

128329019280 is an abundant number, since it is smaller than the sum of its proper divisors (476959061232).

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

128329019280 is a wasteful number, since it uses less digits than its factorization.

128329019280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 128329019280 in words is "one hundred twenty-eight billion, three hundred twenty-nine million, nineteen thousand, two hundred eighty".