10533414452000 has 288 divisors, whose sum is σ = 29428249883760. Its totient is φ = 3698247168000.

The previous prime is 10533414451981. The next prime is 10533414452081. The reversal of 10533414452000 is 25441433501.

It can be written as a sum of positive squares in 8 ways, for example, as 363208718224 + 10170205733776 = 602668^2 + 3189076^2 .

It is a super-2 number, since 2×10533414452000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 47 ways as a sum of consecutive naturals, for example, 13660772 + ... + 14411228.

Almost surely, 2^{10533414452000} is an apocalyptic number.

10533414452000 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 10533414452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714124941880).

10533414452000 is an abundant number, since it is smaller than the sum of its proper divisors (18894835431760).

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

10533414452000 is a wasteful number, since it uses less digits than its factorization.

10533414452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750533 (or 750504 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 10533414452000 its reverse (25441433501), we get a palindrome (10558855885501).

The spelling of 10533414452000 in words is "ten trillion, five hundred thirty-three billion, four hundred fourteen million, four hundred fifty-two thousand".