128488120920 has 768 divisors, whose sum is σ = 491287680000. Its totient is φ = 28884860928.

The previous prime is 128488120909. The next prime is 128488120927. The reversal of 128488120920 is 29021884821.

128488120920 is a `hidden beast` number, since 1 + 28 + 488 + 120 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128488120927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 286164856 + ... + 286165304.

It is an arithmetic number, because the mean of its divisors is an integer number (639697500).

Almost surely, 2^128488120920 is an apocalyptic number.

128488120920 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 128488120920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245643840000).

128488120920 is an abundant number, since it is smaller than the sum of its proper divisors (362799559080).

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

128488120920 is a wasteful number, since it uses less digits than its factorization.

128488120920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 128488120920 in words is "one hundred twenty-eight billion, four hundred eighty-eight million, one hundred twenty thousand, nine hundred twenty".