128848430592000 has 4992 divisors, whose sum is σ = 585868034868480. Its totient is φ = 27824593305600.

The previous prime is 128848430591989. The next prime is 128848430592001. The reversal of 128848430592000 is 295034848821.

128848430592000 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 4 + 8 + 43 + 0 + 592 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128848430592001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1328334335952 + ... + 1328334336048.

It is an arithmetic number, because the mean of its divisors is an integer number (117361385190).

Almost surely, 2^{128848430592000} is an apocalyptic number.

128848430592000 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 128848430592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292934017434240).

128848430592000 is an abundant number, since it is smaller than the sum of its proper divisors (457019604276480).

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

128848430592000 is an equidigital number, since it uses as much as digits as its factorization.

128848430592000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 128848430592000 in words is "one hundred twenty-eight trillion, eight hundred forty-eight billion, four hundred thirty million, five hundred ninety-two thousand".