128161608960 has 864 divisors, whose sum is σ = 546935155200. Its totient is φ = 25221611520.

The previous prime is 128161608947. The next prime is 128161608961. The reversal of 128161608960 is 69806161821.

It is a super-2 number, since 2×128161608960² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128161608961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39323811 + ... + 39327069.

It is an arithmetic number, because the mean of its divisors is an integer number (633026800).

Almost surely, 2^128161608960 is an apocalyptic number.

128161608960 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 128161608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273467577600).

128161608960 is an abundant number, since it is smaller than the sum of its proper divisors (418773546240).

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

128161608960 is a wasteful number, since it uses less digits than its factorization.

128161608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 128161608960 in words is "one hundred twenty-eight billion, one hundred sixty-one million, six hundred eight thousand, nine hundred sixty".