128372079813120 has 960 divisors, whose sum is σ = 541659234340224. Its totient is φ = 28726599352320.

The previous prime is 128372079813113. The next prime is 128372079813121. The reversal of 128372079813120 is 21318970273821.

128372079813120 is a `hidden beast` number, since 1 + 2 + 8 + 37 + 207 + 98 + 1 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (128372079813121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88235904 + ... + 89678976.

Almost surely, 2^{128372079813120} is an apocalyptic number.

128372079813120 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 128372079813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270829617170112).

128372079813120 is an abundant number, since it is smaller than the sum of its proper divisors (413287154527104).

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

128372079813120 is a wasteful number, since it uses less digits than its factorization.

128372079813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443135 (or 1443107 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 128372079813120 in words is "one hundred twenty-eight trillion, three hundred seventy-two billion, seventy-nine million, eight hundred thirteen thousand, one hundred twenty".