1533263746720 has 192 divisors, whose sum is σ = 3763595041920. Its totient is φ = 589580587008.

The previous prime is 1533263746643. The next prime is 1533263746733. The reversal of 1533263746720 is 276473623351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1948238167 + ... + 1948238953.

It is an arithmetic number, because the mean of its divisors is an integer number (19602057510).

Almost surely, 2^{1533263746720} is an apocalyptic number.

1533263746720 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 1533263746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881797520960).

1533263746720 is an abundant number, since it is smaller than the sum of its proper divisors (2230331295200).

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

1533263746720 is a wasteful number, since it uses less digits than its factorization.

1533263746720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 49.

The spelling of 1533263746720 in words is "one trillion, five hundred thirty-three billion, two hundred sixty-three million, seven hundred forty-six thousand, seven hundred twenty".