128395640021760 has 144 divisors (see below), whose sum is σ = 455626194922080. Its totient is φ = 34238837329920.

The previous prime is 128395640021723. The next prime is 128395640021773. The reversal of 128395640021760 is 67120046593821.

It is a happy number.

128395640021760 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 9 + 564 + 0 + 0 + 2 + 1 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 128395640021697 and 128395640021706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1857541251 + ... + 1857610370.

It is an arithmetic number, because the mean of its divisors is an integer number (3164070798070).

It is a 2-persistent number, because it is pandigital, and so is 2⋅128395640021760 = 256791280043520, but 3⋅128395640021760 = 385186920065280 is not.

Almost surely, 2^{128395640021760} is an apocalyptic number.

128395640021760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128395640021760 is an abundant number, since it is smaller than the sum of its proper divisors (327230554900320).

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

128395640021760 is an equidigital number, since it uses as much as digits as its factorization.

128395640021760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715151651 (or 3715151631 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 128395640021760 in words is "one hundred twenty-eight trillion, three hundred ninety-five billion, six hundred forty million, twenty-one thousand, seven hundred sixty".