11026893233664 has 1440 divisors, whose sum is σ = 41653754917632. Its totient is φ = 2727596851200.

The previous prime is 11026893233623. The next prime is 11026893233717. The reversal of 11026893233664 is 46633239862011.

11026893233664 is a `hidden beast` number, since 1 + 1 + 0 + 268 + 93 + 233 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11026893233664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24891406627 + ... + 24891407069.

Almost surely, 2^{11026893233664} is an apocalyptic number.

11026893233664 is a gapful number since it is divisible by the number (14) 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 11026893233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20826877458816).

11026893233664 is an abundant number, since it is smaller than the sum of its proper divisors (30626861683968).

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

11026893233664 is a wasteful number, since it uses less digits than its factorization.

11026893233664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 11026893233664 in words is "eleven trillion, twenty-six billion, eight hundred ninety-three million, two hundred thirty-three thousand, six hundred sixty-four".