10533375958512 has 480 divisors, whose sum is σ = 30893922662400. Its totient is φ = 3088687472640.

The previous prime is 10533375958507. The next prime is 10533375958577. The reversal of 10533375958512 is 21585957333501.

It is a super-2 number, since 2×10533375958512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10439420664 + ... + 10439421672.

It is an arithmetic number, because the mean of its divisors is an integer number (64362338880).

Almost surely, 2^{10533375958512} is an apocalyptic number.

10533375958512 is a gapful number since it is divisible by the number (12) 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 10533375958512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446961331200).

10533375958512 is an abundant number, since it is smaller than the sum of its proper divisors (20360546703888).

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

10533375958512 is a wasteful number, since it uses less digits than its factorization.

10533375958512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 17010000, while the sum is 57.

The spelling of 10533375958512 in words is "ten trillion, five hundred thirty-three billion, three hundred seventy-five million, nine hundred fifty-eight thousand, five hundred twelve".