128082405600 has 288 divisors, whose sum is σ = 465804874080. Its totient is φ = 33966604800.

The previous prime is 128082405571. The next prime is 128082405623. The reversal of 128082405600 is 6504280821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

128082405600 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 8 + 2 + 40 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×128082405600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707637510 + ... + 707637690.

It is an arithmetic number, because the mean of its divisors is an integer number (1617378035).

Almost surely, 2^128082405600 is an apocalyptic number.

128082405600 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 128082405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232902437040).

128082405600 is an abundant number, since it is smaller than the sum of its proper divisors (337722468480).

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

128082405600 is an frugal number, since it uses more digits than its factorization.

128082405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 128082405600 in words is "one hundred twenty-eight billion, eighty-two million, four hundred five thousand, six hundred".