10966266850560 has 288 divisors, whose sum is σ = 40084867909632. Its totient is φ = 2502943580160.

The previous prime is 10966266850547. The next prime is 10966266850597. The reversal of 10966266850560 is 6505866266901.

It is a super-2 number, since 2×10966266850560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10966266850494 and 10966266850503.

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, 18278877 + ... + 18869283.

Almost surely, 2^{10966266850560} is an apocalyptic number.

10966266850560 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 10966266850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20042433954816).

10966266850560 is an abundant number, since it is smaller than the sum of its proper divisors (29118601059072).

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

10966266850560 is an equidigital number, since it uses as much as digits as its factorization.

10966266850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591129 (or 591115 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 10966266850560 in words is "ten trillion, nine hundred sixty-six billion, two hundred sixty-six million, eight hundred fifty thousand, five hundred sixty".