128764598807600 has 480 divisors, whose sum is σ = 360382107402240. Its totient is φ = 43303695482880.

The previous prime is 128764598807591. The next prime is 128764598807627. The reversal of 128764598807600 is 6708895467821.

It is a Cunningham number, because it is equal to 11347449²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61639347356 + ... + 61639349444.

It is an arithmetic number, because the mean of its divisors is an integer number (750796057088).

Almost surely, 2^{128764598807600} is an apocalyptic number.

128764598807600 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 128764598807600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180191053701120).

128764598807600 is an abundant number, since it is smaller than the sum of its proper divisors (231617508594640).

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

128764598807600 is a wasteful number, since it uses less digits than its factorization.

128764598807600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 71.

The spelling of 128764598807600 in words is "one hundred twenty-eight trillion, seven hundred sixty-four billion, five hundred ninety-eight million, eight hundred seven thousand, six hundred".