128273815296000 has 3072 divisors, whose sum is σ = 531511323033600. Its totient is φ = 30510120960000.

The previous prime is 128273815295999. The next prime is 128273815296031. The reversal of 128273815296000 is 692518372821.

128273815296000 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 7 + 3 + 8 + 1 + 5 + 29 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

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, 671590655905 + ... + 671590656095.

It is an arithmetic number, because the mean of its divisors is an integer number (173018008800).

Almost surely, 2^{128273815296000} is an apocalyptic number.

128273815296000 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 128273815296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265755661516800).

128273815296000 is an abundant number, since it is smaller than the sum of its proper divisors (403237507737600).

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

128273815296000 is an equidigital number, since it uses as much as digits as its factorization.

128273815296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 128273815296000 in words is "one hundred twenty-eight trillion, two hundred seventy-three billion, eight hundred fifteen million, two hundred ninety-six thousand".