128973888000 has 720 divisors, whose sum is σ = 482068429128. Its totient is φ = 33140736000.

The previous prime is 128973887993. The next prime is 128973888053. The reversal of 128973888000 is 888379821.

It can be written as a sum of positive squares in 4 ways, for example, as 20832880896 + 108141007104 = 144336^2 + 328848^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 553535884 + ... + 553536116.

Almost surely, 2^128973888000 is an apocalyptic number.

128973888000 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 128973888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241034214564).

128973888000 is an abundant number, since it is smaller than the sum of its proper divisors (353094541128).

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

128973888000 is an equidigital number, since it uses as much as digits as its factorization.

128973888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 128973888000 in words is "one hundred twenty-eight billion, nine hundred seventy-three million, eight hundred eighty-eight thousand".