11006466510264 has 256 divisors, whose sum is σ = 28612362240000. Its totient is φ = 3526026577920.

The previous prime is 11006466510241. The next prime is 11006466510317. The reversal of 11006466510264 is 46201566460011.

It is a happy number.

It is a super-2 number, since 2×11006466510264² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12493151104 + ... + 12493151984.

It is an arithmetic number, because the mean of its divisors is an integer number (111767040000).

Almost surely, 2^{11006466510264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006466510264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14306181120000).

11006466510264 is an abundant number, since it is smaller than the sum of its proper divisors (17605895729736).

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

11006466510264 is a wasteful number, since it uses less digits than its factorization.

11006466510264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 11006466510264 in words is "eleven trillion, six billion, four hundred sixty-six million, five hundred ten thousand, two hundred sixty-four".