1003563120000 has 1280 divisors, whose sum is σ = 3961431936000. Its totient is φ = 224888832000.

The previous prime is 1003563119989. The next prime is 1003563120101. The reversal of 1003563120000 is 213653001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6009359917 + ... + 6009360083.

It is an arithmetic number, because the mean of its divisors is an integer number (3094868700).

Almost surely, 2^{1003563120000} is an apocalyptic number.

1003563120000 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 1003563120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980715968000).

1003563120000 is an abundant number, since it is smaller than the sum of its proper divisors (2957868816000).

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

1003563120000 is an frugal number, since it uses more digits than its factorization.

1003563120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 1003563120000 its reverse (213653001), we get a palindrome (1003776773001).

The spelling of 1003563120000 in words is "one trillion, three billion, five hundred sixty-three million, one hundred twenty thousand".