128583363408500 has 768 divisors, whose sum is σ = 386436180049920. Its totient is φ = 36085720320000.

The previous prime is 128583363408497. The next prime is 128583363408541. The reversal of 128583363408500 is 5804363385821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3281758910 + ... + 3281798090.

It is an arithmetic number, because the mean of its divisors is an integer number (503172109440).

Almost surely, 2^{128583363408500} is an apocalyptic number.

128583363408500 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 128583363408500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193218090024960).

128583363408500 is an abundant number, since it is smaller than the sum of its proper divisors (257852816641420).

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

128583363408500 is a wasteful number, since it uses less digits than its factorization.

128583363408500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39393 (or 39381 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 56.

The spelling of 128583363408500 in words is "one hundred twenty-eight trillion, five hundred eighty-three billion, three hundred sixty-three million, four hundred eight thousand, five hundred".