128790689368320 has 4320 divisors, whose sum is σ = 579290899461120. Its totient is φ = 27179143004160.

The previous prime is 128790689368309. The next prime is 128790689368361. The reversal of 128790689368320 is 23863986097821.

128790689368320 is a `hidden beast` number, since 1 + 2 + 87 + 90 + 6 + 89 + 3 + 68 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 744454851754 + ... + 744454851926.

It is an arithmetic number, because the mean of its divisors is an integer number (134095115616).

Almost surely, 2^{128790689368320} is an apocalyptic number.

128790689368320 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 128790689368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289645449730560).

128790689368320 is an abundant number, since it is smaller than the sum of its proper divisors (450500210092800).

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

128790689368320 is a wasteful number, since it uses less digits than its factorization.

128790689368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 128790689368320 in words is "one hundred twenty-eight trillion, seven hundred ninety billion, six hundred eighty-nine million, three hundred sixty-eight thousand, three hundred twenty".