128482711920 has 240 divisors, whose sum is σ = 450482104800. Its totient is φ = 34031342592.

The previous prime is 128482711871. The next prime is 128482711927. The reversal of 128482711920 is 29117284821.

128482711920 is a `hidden beast` number, since 12 + 8 + 482 + 71 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (128482711927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2874382 + ... + 2918738.

It is an arithmetic number, because the mean of its divisors is an integer number (1877008770).

Almost surely, 2^128482711920 is an apocalyptic number.

128482711920 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 128482711920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225241052400).

128482711920 is an abundant number, since it is smaller than the sum of its proper divisors (321999392880).

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

128482711920 is a wasteful number, since it uses less digits than its factorization.

128482711920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44534 (or 44516 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 128482711920 in words is "one hundred twenty-eight billion, four hundred eighty-two million, seven hundred eleven thousand, nine hundred twenty".