1533069920928 has 768 divisors, whose sum is σ = 5463884160000. Its totient is φ = 364801425408.

The previous prime is 1533069920923. The next prime is 1533069920951. The reversal of 1533069920928 is 8290299603351.

It is not an unprimeable number, because it can be changed into a prime (1533069920923) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 641719158 + ... + 641721546.

It is an arithmetic number, because the mean of its divisors is an integer number (7114432500).

Almost surely, 2^{1533069920928} 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 1533069920928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731942080000).

1533069920928 is an abundant number, since it is smaller than the sum of its proper divisors (3930814239072).

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

1533069920928 is a wasteful number, since it uses less digits than its factorization.

1533069920928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 1533069920928 in words is "one trillion, five hundred thirty-three billion, sixty-nine million, nine hundred twenty thousand, nine hundred twenty-eight".