128949765120 has 528 divisors, whose sum is σ = 494831757888. Its totient is φ = 30785863680.

The previous prime is 128949765107. The next prime is 128949765149. The reversal of 128949765120 is 21567949821.

It is a happy number.

128949765120 is a `hidden beast` number, since 1 + 2 + 89 + 49 + 7 + 6 + 512 + 0 = 666.

128949765120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×128949765120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33959062 + ... + 33962858.

Almost surely, 2^128949765120 is an apocalyptic number.

128949765120 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 128949765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247415878944).

128949765120 is an abundant number, since it is smaller than the sum of its proper divisors (365881992768).

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

128949765120 is a wasteful number, since it uses less digits than its factorization.

128949765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 128949765120 in words is "one hundred twenty-eight billion, nine hundred forty-nine million, seven hundred sixty-five thousand, one hundred twenty".