128745859923800 has 384 divisors, whose sum is σ = 353957031014400. Its totient is φ = 42638736752640.

The previous prime is 128745859923781. The next prime is 128745859923827. The reversal of 128745859923800 is 8329958547821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1843220477 + ... + 1843290323.

It is an arithmetic number, because the mean of its divisors is an integer number (921763101600).

Almost surely, 2^{128745859923800} is an apocalyptic number.

128745859923800 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 128745859923800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176978515507200).

128745859923800 is an abundant number, since it is smaller than the sum of its proper divisors (225211171090600).

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

128745859923800 is a wasteful number, since it uses less digits than its factorization.

128745859923800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70283 (or 70274 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 71.

The spelling of 128745859923800 in words is "one hundred twenty-eight trillion, seven hundred forty-five billion, eight hundred fifty-nine million, nine hundred twenty-three thousand, eight hundred".