128342273679360 has 2240 divisors, whose sum is σ = 524860991424000. Its totient is φ = 29740973948928.

The previous prime is 128342273679313. The next prime is 128342273679479. The reversal of 128342273679360 is 63976372243821.

128342273679360 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 422 + 7 + 3 + 67 + 93 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 163077856887 + ... + 163077857673.

It is an arithmetic number, because the mean of its divisors is an integer number (234312942600).

Almost surely, 2^{128342273679360} is an apocalyptic number.

128342273679360 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 128342273679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262430495712000).

128342273679360 is an abundant number, since it is smaller than the sum of its proper divisors (396518717744640).

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

128342273679360 is a wasteful number, since it uses less digits than its factorization.

128342273679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 128342273679360 in words is "one hundred twenty-eight trillion, three hundred forty-two billion, two hundred seventy-three million, six hundred seventy-nine thousand, three hundred sixty".