1003233288960 has 2880 divisors, whose sum is σ = 4663525515264. Its totient is φ = 200658124800.

The previous prime is 1003233288949. The next prime is 1003233289013. The reversal of 1003233288960 is 698823323001.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16446447330 + ... + 16446447390.

Almost surely, 2^{1003233288960} is an apocalyptic number.

1003233288960 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 1003233288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331762757632).

1003233288960 is an abundant number, since it is smaller than the sum of its proper divisors (3660292226304).

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

1003233288960 is a wasteful number, since it uses less digits than its factorization.

1003233288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1003233288960 in words is "one trillion, three billion, two hundred thirty-three million, two hundred eighty-eight thousand, nine hundred sixty".