128781181584 has 640 divisors, whose sum is σ = 438829056000. Its totient is φ = 35754048000.

The previous prime is 128781181541. The next prime is 128781181609. The reversal of 128781181584 is 485181187821.

128781181584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 128781181584.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 647141517 + ... + 647141715.

It is an arithmetic number, because the mean of its divisors is an integer number (685670400).

Almost surely, 2^128781181584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128781181584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219414528000).

128781181584 is an abundant number, since it is smaller than the sum of its proper divisors (310047874416).

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

128781181584 is a wasteful number, since it uses less digits than its factorization.

128781181584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 54.

The spelling of 128781181584 in words is "one hundred twenty-eight billion, seven hundred eighty-one million, one hundred eighty-one thousand, five hundred eighty-four".