128485324800 has 864 divisors, whose sum is σ = 535326049440. Its totient is φ = 28842393600.

The previous prime is 128485324733. The next prime is 128485324867. The reversal of 128485324800 is 8423584821.

128485324800 is a `hidden beast` number, since 12 + 84 + 85 + 3 + 2 + 480 + 0 = 666.

128485324800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (128485324733) and next prime (128485324867).

It is a super-2 number, since 2×128485324800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196761274 + ... + 196761926.

It is an arithmetic number, because the mean of its divisors is an integer number (619590335).

Almost surely, 2^128485324800 is an apocalyptic number.

128485324800 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 128485324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267663024720).

128485324800 is an abundant number, since it is smaller than the sum of its proper divisors (406840724640).

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

128485324800 is a wasteful number, since it uses less digits than its factorization.

128485324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 128485324800 in words is "one hundred twenty-eight billion, four hundred eighty-five million, three hundred twenty-four thousand, eight hundred".