1030948877568 has 288 divisors, whose sum is σ = 2821674956800. Its totient is φ = 334074544128.

The previous prime is 1030948877561. The next prime is 1030948877611. The reversal of 1030948877568 is 8657788490301.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1030948877499 and 1030948877508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030948877561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665506763 + ... + 1665507381.

Almost surely, 2^{1030948877568} 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 1030948877568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410837478400).

1030948877568 is an abundant number, since it is smaller than the sum of its proper divisors (1790726079232).

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

1030948877568 is an equidigital number, since it uses as much as digits as its factorization.

1030948877568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 1030948877568 in words is "one trillion, thirty billion, nine hundred forty-eight million, eight hundred seventy-seven thousand, five hundred sixty-eight".