128581864320 has 1024 divisors, whose sum is σ = 537933312000. Its totient is φ = 25910083584.

The previous prime is 128581864303. The next prime is 128581864331. The reversal of 128581864320 is 23468185821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 128581864320.

It is a congruent number.

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, 196909114 + ... + 196909766.

It is an arithmetic number, because the mean of its divisors is an integer number (525325500).

Almost surely, 2^128581864320 is an apocalyptic number.

128581864320 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 128581864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268966656000).

128581864320 is an abundant number, since it is smaller than the sum of its proper divisors (409351447680).

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

128581864320 is a wasteful number, since it uses less digits than its factorization.

128581864320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 128581864320 in words is "one hundred twenty-eight billion, five hundred eighty-one million, eight hundred sixty-four thousand, three hundred twenty".