10543214511200 has 144 divisors (see below), whose sum is σ = 29443626424800. Its totient is φ = 3611368427520.

The previous prime is 10543214511197. The next prime is 10543214511209. The reversal of 10543214511200 is 211541234501.

It is a happy number.

It is a super-2 number, since 2×10543214511200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10543214511209) 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 23 ways as a sum of consecutive naturals, for example, 4977014 + ... + 6771786.

It is an arithmetic number, because the mean of its divisors is an integer number (204469627950).

Almost surely, 2^{10543214511200} is an apocalyptic number.

10543214511200 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 10543214511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14721813212400).

10543214511200 is an abundant number, since it is smaller than the sum of its proper divisors (18900411913600).

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

10543214511200 is a wasteful number, since it uses less digits than its factorization.

10543214511200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795849 (or 1795836 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 10543214511200 its reverse (211541234501), we get a palindrome (10754755745701).

The spelling of 10543214511200 in words is "ten trillion, five hundred forty-three billion, two hundred fourteen million, five hundred eleven thousand, two hundred".