128895621120 has 1728 divisors, whose sum is σ = 582021236160. Its totient is φ = 26159874048.

The previous prime is 128895621059. The next prime is 128895621133. The reversal of 128895621120 is 21126598821.

128895621120 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 9 + 5 + 621 + 12 + 0 = 666.

It is a super-2 number, since 2×128895621120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1765693404 + ... + 1765693476.

It is an arithmetic number, because the mean of its divisors is an integer number (336817845).

Almost surely, 2^128895621120 is an apocalyptic number.

128895621120 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 128895621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291010618080).

128895621120 is an abundant number, since it is smaller than the sum of its proper divisors (453125615040).

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

128895621120 is a wasteful number, since it uses less digits than its factorization.

128895621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 128895621120 in words is "one hundred twenty-eight billion, eight hundred ninety-five million, six hundred twenty-one thousand, one hundred twenty".