128958767616 has 480 divisors, whose sum is σ = 411610351680. Its totient is φ = 35760635904.

The previous prime is 128958767611. The next prime is 128958767747. The reversal of 128958767616 is 616767859821.

It is a happy number.

Its product of digits (60963840) is a multiple of the sum of its prime divisors (441).

It is not an unprimeable number, because it can be changed into a prime (128958767611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501784960 + ... + 501785216.

It is an arithmetic number, because the mean of its divisors is an integer number (857521566).

Almost surely, 2^128958767616 is an apocalyptic number.

128958767616 is a gapful number since it is divisible by the number (16) 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 128958767616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205805175840).

128958767616 is an abundant number, since it is smaller than the sum of its proper divisors (282651584064).

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

128958767616 is a wasteful number, since it uses less digits than its factorization.

128958767616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 66.

The spelling of 128958767616 in words is "one hundred twenty-eight billion, nine hundred fifty-eight million, seven hundred sixty-seven thousand, six hundred sixteen".