10643310406560 has 288 divisors, whose sum is σ = 37307665221120. Its totient is φ = 2535377725440.

The previous prime is 10643310406549. The next prime is 10643310406607. The reversal of 10643310406560 is 6560401334601.

10643310406560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10643310406560² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5109201 + ... + 6884079.

It is an arithmetic number, because the mean of its divisors is an integer number (129540504240).

Almost surely, 2^{10643310406560} is an apocalyptic number.

10643310406560 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 10643310406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653832610560).

10643310406560 is an abundant number, since it is smaller than the sum of its proper divisors (26664354814560).

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

10643310406560 is a wasteful number, since it uses less digits than its factorization.

10643310406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774972 (or 1774933 counting only the distinct ones).

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

The spelling of 10643310406560 in words is "ten trillion, six hundred forty-three billion, three hundred ten million, four hundred six thousand, five hundred sixty".