1030560496128 has 560 divisors, whose sum is σ = 3362467600800. Its totient is φ = 314155376640.

The previous prime is 1030560496087. The next prime is 1030560496129. The reversal of 1030560496128 is 8216940650301.

1030560496128 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 560 + 4 + 9 + 61 + 28 = 666.

It is a super-3 number, since 3×1030560496128³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030560496129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 205657143 + ... + 205662153.

It is an arithmetic number, because the mean of its divisors is an integer number (6004406430).

Almost surely, 2^{1030560496128} is an apocalyptic number.

1030560496128 is a gapful number since it is divisible by the number (18) 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 1030560496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681233800400).

1030560496128 is an abundant number, since it is smaller than the sum of its proper divisors (2331907104672).

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

1030560496128 is an frugal number, since it uses more digits than its factorization.

1030560496128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1030560496128 in words is "one trillion, thirty billion, five hundred sixty million, four hundred ninety-six thousand, one hundred twenty-eight".