128536349760 has 1344 divisors, whose sum is σ = 581540843520. Its totient is φ = 25301237760.

The previous prime is 128536349759. The next prime is 128536349789. The reversal of 128536349760 is 67943635821.

128536349760 is a `hidden beast` number, since 1 + 2 + 8 + 536 + 3 + 49 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 128536349697 and 128536349706.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 413300005 + ... + 413300315.

It is an arithmetic number, because the mean of its divisors is an integer number (432694080).

It is a 1-persistent number, because it is pandigital, but 2⋅128536349760 = 257072699520 is not.

Almost surely, 2^128536349760 is an apocalyptic number.

128536349760 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 128536349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290770421760).

128536349760 is an abundant number, since it is smaller than the sum of its proper divisors (453004493760).

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

128536349760 is a wasteful number, since it uses less digits than its factorization.

128536349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 128536349760 in words is "one hundred twenty-eight billion, five hundred thirty-six million, three hundred forty-nine thousand, seven hundred sixty".