10643116545040 has 320 divisors, whose sum is σ = 30352633735680. Its totient is φ = 3387819294720.

The previous prime is 10643116545037. The next prime is 10643116545041. The reversal of 10643116545040 is 4054561134601.

It is a super-2 number, since 2×10643116545040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10643116544984 and 10643116545002.

It is not an unprimeable number, because it can be changed into a prime (10643116545041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226961916 + ... + 227008804.

It is an arithmetic number, because the mean of its divisors is an integer number (94851980424).

Almost surely, 2^{10643116545040} is an apocalyptic number.

10643116545040 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 10643116545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15176316867840).

10643116545040 is an abundant number, since it is smaller than the sum of its proper divisors (19709517190640).

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

10643116545040 is a wasteful number, since it uses less digits than its factorization.

10643116545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47250 (or 47244 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

Adding to 10643116545040 its reverse (4054561134601), we get a palindrome (14697677679641).

The spelling of 10643116545040 in words is "ten trillion, six hundred forty-three billion, one hundred sixteen million, five hundred forty-five thousand, forty".