1030825769792 has 168 divisors, whose sum is σ = 2583097704000. Its totient is φ = 407797737984.

The previous prime is 1030825769783. The next prime is 1030825769801. The reversal of 1030825769792 is 2979675280301.

It is an interprime number because it is at equal distance from previous prime (1030825769783) and next prime (1030825769801).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3570959 + ... + 3848817.

Almost surely, 2^{1030825769792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030825769792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291548852000).

1030825769792 is an abundant number, since it is smaller than the sum of its proper divisors (1552271934208).

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

1030825769792 is an equidigital number, since it uses as much as digits as its factorization.

1030825769792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277918 (or 277881 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 59.

The spelling of 1030825769792 in words is "one trillion, thirty billion, eight hundred twenty-five million, seven hundred sixty-nine thousand, seven hundred ninety-two".