128364307920 has 240 divisors, whose sum is σ = 433700991360. Its totient is φ = 34023896064.

The previous prime is 128364307879. The next prime is 128364307927. The reversal of 128364307920 is 29703463821.

128364307920 is a `hidden beast` number, since 1 + 283 + 64 + 307 + 9 + 2 + 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 (128364307927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130583749 + ... + 130584731.

It is an arithmetic number, because the mean of its divisors is an integer number (1807087464).

Almost surely, 2^128364307920 is an apocalyptic number.

128364307920 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 128364307920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216850495680).

128364307920 is an abundant number, since it is smaller than the sum of its proper divisors (305336683440).

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

128364307920 is a wasteful number, since it uses less digits than its factorization.

128364307920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 128364307920 in words is "one hundred twenty-eight billion, three hundred sixty-four million, three hundred seven thousand, nine hundred twenty".