128213352960 has 960 divisors, whose sum is σ = 532020234240. Its totient is φ = 26035322880.

The previous prime is 128213352959. The next prime is 128213352977. The reversal of 128213352960 is 69253312821.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194557111 + ... + 194557769.

It is an arithmetic number, because the mean of its divisors is an integer number (554187744).

Almost surely, 2^128213352960 is an apocalyptic number.

128213352960 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 128213352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266010117120).

128213352960 is an abundant number, since it is smaller than the sum of its proper divisors (403806881280).

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

128213352960 is a wasteful number, since it uses less digits than its factorization.

128213352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 128213352960 in words is "one hundred twenty-eight billion, two hundred thirteen million, three hundred fifty-two thousand, nine hundred sixty".