128583820800 has 720 divisors, whose sum is σ = 479010403872. Its totient is φ = 32912179200.

The previous prime is 128583820751. The next prime is 128583820817. The reversal of 128583820800 is 8028385821.

It is a tau number, because it is divible by the number of its divisors (720).

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, 413452645 + ... + 413452955.

Almost surely, 2^128583820800 is an apocalyptic number.

128583820800 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 128583820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239505201936).

128583820800 is an abundant number, since it is smaller than the sum of its proper divisors (350426583072).

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

128583820800 is a wasteful number, since it uses less digits than its factorization.

128583820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 128583820800 in words is "one hundred twenty-eight billion, five hundred eighty-three million, eight hundred twenty thousand, eight hundred".