128257320960 has 576 divisors, whose sum is σ = 472637365200. Its totient is φ = 32105299968.

The previous prime is 128257320953. The next prime is 128257320967. The reversal of 128257320960 is 69023752821.

128257320960 is a `hidden beast` number, since 12 + 8 + 2 + 573 + 2 + 0 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (128257320953) and next prime (128257320967).

It can be written as a sum of positive squares in 8 ways, for example, as 120303535104 + 7953785856 = 346848^2 + 89184^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (128257320967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98887032 + ... + 98888328.

Almost surely, 2^128257320960 is an apocalyptic number.

128257320960 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 128257320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236318682600).

128257320960 is an abundant number, since it is smaller than the sum of its proper divisors (344380044240).

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

128257320960 is a wasteful number, since it uses less digits than its factorization.

128257320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 128257320960 in words is "one hundred twenty-eight billion, two hundred fifty-seven million, three hundred twenty thousand, nine hundred sixty".