10643436160000 has 1760 divisors, whose sum is σ = 34255814630400. Its totient is φ = 3220439040000.

The previous prime is 10643436159997. The next prime is 10643436160043. The reversal of 10643436160000 is 6163434601.

It is a super-2 number, since 2×10643436160000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134727039961 + ... + 134727040039.

It is an arithmetic number, because the mean of its divisors is an integer number (19463531040).

Almost surely, 2^{10643436160000} is an apocalyptic number.

10643436160000 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 10643436160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17127907315200).

10643436160000 is an abundant number, since it is smaller than the sum of its proper divisors (23612378470400).

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

10643436160000 is an equidigital number, since it uses as much as digits as its factorization.

10643436160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 10643436160000 its reverse (6163434601), we get a palindrome (10649599594601).

The spelling of 10643436160000 in words is "ten trillion, six hundred forty-three billion, four hundred thirty-six million, one hundred sixty thousand".