128318953896000 has 1120 divisors, whose sum is σ = 566115700879872. Its totient is φ = 28054804377600.

The previous prime is 128318953895981. The next prime is 128318953896041. The reversal of 128318953896000 is 698359813821.

128318953896000 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 1 + 8 + 9 + 538 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 103713022 + ... + 104942978.

Almost surely, 2^{128318953896000} is an apocalyptic number.

128318953896000 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 128318953896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283057850439936).

128318953896000 is an abundant number, since it is smaller than the sum of its proper divisors (437796746983872).

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

128318953896000 is a wasteful number, since it uses less digits than its factorization.

128318953896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230026 (or 1229997 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 128318953896000 in words is "one hundred twenty-eight trillion, three hundred eighteen billion, nine hundred fifty-three million, eight hundred ninety-six thousand".