128597483520 has 1008 divisors, whose sum is σ = 519284742480. Its totient is φ = 30169497600.

The previous prime is 128597483519. The next prime is 128597483557. The reversal of 128597483520 is 25384795821.

128597483520 is a `hidden beast` number, since 1 + 2 + 8 + 597 + 48 + 3 + 5 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4148305905 + ... + 4148305935.

It is an arithmetic number, because the mean of its divisors is an integer number (515163435).

Almost surely, 2^128597483520 is an apocalyptic number.

128597483520 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 128597483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259642371240).

128597483520 is an abundant number, since it is smaller than the sum of its proper divisors (390687258960).

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

128597483520 is an equidigital number, since it uses as much as digits as its factorization.

128597483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 128597483520 in words is "one hundred twenty-eight billion, five hundred ninety-seven million, four hundred eighty-three thousand, five hundred twenty".