11258853564960 has 576 divisors, whose sum is σ = 40368502137600. Its totient is φ = 2962956091392.

The previous prime is 11258853564943. The next prime is 11258853564979. The reversal of 11258853564960 is 6946535885211.

11258853564960 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 8 + 8 + 5 + 3 + 564 + 9 + 60 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1996601821 + ... + 1996607459.

It is an arithmetic number, because the mean of its divisors is an integer number (70084205100).

Almost surely, 2^{11258853564960} is an apocalyptic number.

11258853564960 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 11258853564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184251068800).

11258853564960 is an abundant number, since it is smaller than the sum of its proper divisors (29109648572640).

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

11258853564960 is an equidigital number, since it uses as much as digits as its factorization.

11258853564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 11258853564960 in words is "eleven trillion, two hundred fifty-eight billion, eight hundred fifty-three million, five hundred sixty-four thousand, nine hundred sixty".