10641763000000 has 392 divisors, whose sum is σ = 28858594667760. Its totient is φ = 3861312000000.

The previous prime is 10641762999971. The next prime is 10641763000003. The reversal of 10641763000000 is 36714601.

It is a super-2 number, since 2×10641763000000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10641763000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7446999286 + ... + 7447000714.

Almost surely, 2^{10641763000000} is an apocalyptic number.

10641763000000 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 10641763000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429297333880).

10641763000000 is an abundant number, since it is smaller than the sum of its proper divisors (18216831667760).

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

10641763000000 is an frugal number, since it uses more digits than its factorization.

10641763000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 10641763000000 its reverse (36714601), we get a palindrome (10641799714601).

The spelling of 10641763000000 in words is "ten trillion, six hundred forty-one billion, seven hundred sixty-three million", and thus it is an aban number.