1038980633600 has 990 divisors, whose sum is σ = 3357453393270. Its totient is φ = 317481615360.

The previous prime is 1038980633599. The next prime is 1038980633651. The reversal of 1038980633600 is 63360898301.

It can be written as a sum of positive squares in 15 ways, for example, as 784060662784 + 254919970816 = 885472^2 + 504896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 35826918386 + ... + 35826918414.

Almost surely, 2^{1038980633600} is an apocalyptic number.

1038980633600 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 1038980633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678726696635).

1038980633600 is an abundant number, since it is smaller than the sum of its proper divisors (2318472759670).

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

1038980633600 is an frugal number, since it uses more digits than its factorization.

1038980633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The spelling of 1038980633600 in words is "one trillion, thirty-eight billion, nine hundred eighty million, six hundred thirty-three thousand, six hundred".