10643461533120 has 224 divisors, whose sum is σ = 36402902690112. Its totient is φ = 2619176583168.

The previous prime is 10643461533071. The next prime is 10643461533143. The reversal of 10643461533120 is 2133516434601.

It is a super-2 number, since 2×10643461533120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43971144 + ... + 44212536.

It is an arithmetic number, because the mean of its divisors is an integer number (162512958438).

Almost surely, 2^{10643461533120} is an apocalyptic number.

10643461533120 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 10643461533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201451345056).

10643461533120 is an abundant number, since it is smaller than the sum of its proper divisors (25759441156992).

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

10643461533120 is a wasteful number, since it uses less digits than its factorization.

10643461533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244959 (or 244949 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

Adding to 10643461533120 its reverse (2133516434601), we get a palindrome (12776977967721).

The spelling of 10643461533120 in words is "ten trillion, six hundred forty-three billion, four hundred sixty-one million, five hundred thirty-three thousand, one hundred twenty".