128800578071880 has 1536 divisors, whose sum is σ = 540123934371840. Its totient is φ = 27157419970560.

The previous prime is 128800578071861. The next prime is 128800578071917. The reversal of 128800578071880 is 88170875008821.

128800578071880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2141898294 + ... + 2141958426.

It is an arithmetic number, because the mean of its divisors is an integer number (351643186440).

Almost surely, 2^{128800578071880} is an apocalyptic number.

128800578071880 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 128800578071880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270061967185920).

128800578071880 is an abundant number, since it is smaller than the sum of its proper divisors (411323356299960).

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

128800578071880 is a wasteful number, since it uses less digits than its factorization.

128800578071880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60273 (or 60257 counting only the distinct ones).

The product of its (nonzero) digits is 16056320, while the sum is 63.

The spelling of 128800578071880 in words is "one hundred twenty-eight trillion, eight hundred billion, five hundred seventy-eight million, seventy-one thousand, eight hundred eighty".