11255795712 has 312 divisors, whose sum is σ = 37904540544. Its totient is φ = 3151429632.

The previous prime is 11255795711. The next prime is 11255795737. The reversal of 11255795712 is 21759755211.

11255795712 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 5 + 79 + 571 + 2 = 666.

It is a super-2 number, since 2×11255795712² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11255795711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13676133 + ... + 13676955.

It is an arithmetic number, because the mean of its divisors is an integer number (121488912).

Almost surely, 2^11255795712 is an apocalyptic number.

11255795712 is a gapful number since it is divisible by the number (12) 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 11255795712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18952270272).

11255795712 is an abundant number, since it is smaller than the sum of its proper divisors (26648744832).

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

11255795712 is an equidigital number, since it uses as much as digits as its factorization.

11255795712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 888 counting only the distinct ones).

The product of its digits is 220500, while the sum is 45.

The spelling of 11255795712 in words is "eleven billion, two hundred fifty-five million, seven hundred ninety-five thousand, seven hundred twelve".