11268665730 has 576 divisors, whose sum is σ = 39527429760. Its totient is φ = 2288756736.

The previous prime is 11268665693. The next prime is 11268665741. The reversal of 11268665730 is 3756686211.

11268665730 is a `hidden beast` number, since 1 + 12 + 6 + 8 + 66 + 573 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38459464 + ... + 38459756.

It is an arithmetic number, because the mean of its divisors is an integer number (68624010).

Almost surely, 2^11268665730 is an apocalyptic number.

11268665730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11268665730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763714880).

11268665730 is an abundant number, since it is smaller than the sum of its proper divisors (28258764030).

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

11268665730 is a wasteful number, since it uses less digits than its factorization.

11268665730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11268665730 in words is "eleven billion, two hundred sixty-eight million, six hundred sixty-five thousand, seven hundred thirty".