11268258952896 has 336 divisors, whose sum is σ = 36012441673728. Its totient is φ = 3340005580800.

The previous prime is 11268258952891. The next prime is 11268258952903. The reversal of 11268258952896 is 69825985286211.

It is a happy number.

11268258952896 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 8 + 2 + 5 + 8 + 9 + 528 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11268258952891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57033096 + ... + 57230328.

Almost surely, 2^{11268258952896} is an apocalyptic number.

11268258952896 is a gapful number since it is divisible by the number (16) 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 11268258952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006220836864).

11268258952896 is an abundant number, since it is smaller than the sum of its proper divisors (24744182720832).

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

11268258952896 is a wasteful number, since it uses less digits than its factorization.

11268258952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197460 (or 197447 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The spelling of 11268258952896 in words is "eleven trillion, two hundred sixty-eight billion, two hundred fifty-eight million, nine hundred fifty-two thousand, eight hundred ninety-six".