1030351268800 has 168 divisors, whose sum is σ = 2898146644640. Its totient is φ = 353183846400.

The previous prime is 1030351268789. The next prime is 1030351268801. The reversal of 1030351268800 is 88621530301.

It is a self number, because there is not a number n which added to its sum of digits gives 1030351268800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030351268801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72445690 + ... + 72459910.

Almost surely, 2^{1030351268800} is an apocalyptic number.

1030351268800 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 1030351268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449073322320).

1030351268800 is an abundant number, since it is smaller than the sum of its proper divisors (1867795375840).

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

1030351268800 is a wasteful number, since it uses less digits than its factorization.

1030351268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20719 (or 20704 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 1030351268800 in words is "one trillion, thirty billion, three hundred fifty-one million, two hundred sixty-eight thousand, eight hundred".