1020563016960 has 144 divisors (see below), whose sum is σ = 3265909282944. Its totient is φ = 271608569856.

The previous prime is 1020563016877. The next prime is 1020563016971. The reversal of 1020563016960 is 696103650201.

1020563016960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1667334 + ... + 2195706.

It is an arithmetic number, because the mean of its divisors is an integer number (22679925576).

Almost surely, 2^{1020563016960} is an apocalyptic number.

1020563016960 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 1020563016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632954641472).

1020563016960 is an abundant number, since it is smaller than the sum of its proper divisors (2245346265984).

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

1020563016960 is an equidigital number, since it uses as much as digits as its factorization.

1020563016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528900 (or 528886 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 1020563016960 in words is "one trillion, twenty billion, five hundred sixty-three million, sixteen thousand, nine hundred sixty".