128449922895360 has 2560 divisors, whose sum is σ = 534932344995840. Its totient is φ = 28904973926400.

The previous prime is 128449922895277. The next prime is 128449922895361. The reversal of 128449922895360 is 63598229944821.

128449922895360 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 4 + 9 + 9 + 2 + 2 + 89 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-3 number, since 3×128449922895360³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128449922895361) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 107669674924 + ... + 107669676116.

It is an arithmetic number, because the mean of its divisors is an integer number (208957947264).

Almost surely, 2^{128449922895360} is an apocalyptic number.

128449922895360 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 128449922895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267466172497920).

128449922895360 is an abundant number, since it is smaller than the sum of its proper divisors (406482422100480).

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

128449922895360 is a wasteful number, since it uses less digits than its factorization.

128449922895360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 128449922895360 in words is "one hundred twenty-eight trillion, four hundred forty-nine billion, nine hundred twenty-two million, eight hundred ninety-five thousand, three hundred sixty".