128816612632320 has 288 divisors, whose sum is σ = 412481999462400. Its totient is φ = 34261535293440.

The previous prime is 128816612632289. The next prime is 128816612632327. The reversal of 128816612632320 is 23236216618821.

It is a super-3 number, since 3×128816612632320³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128816612632327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2500248160 + ... + 2500299680.

It is an arithmetic number, because the mean of its divisors is an integer number (1432229164800).

Almost surely, 2^{128816612632320} is an apocalyptic number.

128816612632320 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 128816612632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206240999731200).

128816612632320 is an abundant number, since it is smaller than the sum of its proper divisors (283665386830080).

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

128816612632320 is a wasteful number, since it uses less digits than its factorization.

128816612632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53231 (or 53217 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 128816612632320 in words is "one hundred twenty-eight trillion, eight hundred sixteen billion, six hundred twelve million, six hundred thirty-two thousand, three hundred twenty".