11447256960 has 320 divisors, whose sum is σ = 41054428800. Its totient is φ = 3039621120.

The previous prime is 11447256959. The next prime is 11447257007. The reversal of 11447256960 is 6965274411.

11447256960 is a `hidden beast` number, since 1 + 14 + 4 + 72 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 23898001 + ... + 23898479.

It is an arithmetic number, because the mean of its divisors is an integer number (128295090).

Almost surely, 2^11447256960 is an apocalyptic number.

11447256960 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 11447256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527214400).

11447256960 is an abundant number, since it is smaller than the sum of its proper divisors (29607171840).

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

11447256960 is an equidigital number, since it uses as much as digits as its factorization.

11447256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 950 counting only the distinct ones).

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

The spelling of 11447256960 in words is "eleven billion, four hundred forty-seven million, two hundred fifty-six thousand, nine hundred sixty".