128887945368000 has 2688 divisors, whose sum is σ = 564787993835520. Its totient is φ = 25598774476800.

The previous prime is 128887945367999. The next prime is 128887945368037. The reversal of 128887945368000 is 863549788821.

It is a super-2 number, since 2×128887945368000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 48508822672 + ... + 48508825328.

It is an arithmetic number, because the mean of its divisors is an integer number (210114581040).

It is a 1-persistent number, because it is pandigital, but 2⋅128887945368000 = 257775890736000 is not.

Almost surely, 2^{128887945368000} is an apocalyptic number.

128887945368000 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 128887945368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282393996917760).

128887945368000 is an abundant number, since it is smaller than the sum of its proper divisors (435900048467520).

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

128887945368000 is a wasteful number, since it uses less digits than its factorization.

128887945368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 69.

The spelling of 128887945368000 in words is "one hundred twenty-eight trillion, eight hundred eighty-seven billion, nine hundred forty-five million, three hundred sixty-eight thousand".