128365726098960 has 1920 divisors, whose sum is σ = 538887566131200. Its totient is φ = 26752837386240.

The previous prime is 128365726098901. The next prime is 128365726098971. The reversal of 128365726098960 is 69890627563821.

It is a happy number.

128365726098960 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 6 + 5 + 7 + 2 + 609 + 8 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 97320489181 + ... + 97320490499.

It is an arithmetic number, because the mean of its divisors is an integer number (280670607360).

Almost surely, 2^{128365726098960} is an apocalyptic number.

128365726098960 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 128365726098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269443783065600).

128365726098960 is an abundant number, since it is smaller than the sum of its proper divisors (410521840032240).

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

128365726098960 is a wasteful number, since it uses less digits than its factorization.

128365726098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 128365726098960 in words is "one hundred twenty-eight trillion, three hundred sixty-five billion, seven hundred twenty-six million, ninety-eight thousand, nine hundred sixty".