11426456160 has 960 divisors, whose sum is σ = 50582568960. Its totient is φ = 2368880640.

The previous prime is 11426456159. The next prime is 11426456161. The reversal of 11426456160 is 6165462411.

11426456160 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 645 + 6 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11426456159) and next prime (11426456161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11426456161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47809321 + ... + 47809559.

It is an arithmetic number, because the mean of its divisors is an integer number (52690176).

Almost surely, 2^11426456160 is an apocalyptic number.

11426456160 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 11426456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25291284480).

11426456160 is an abundant number, since it is smaller than the sum of its proper divisors (39156112800).

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

11426456160 is a wasteful number, since it uses less digits than its factorization.

11426456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11426456160 in words is "eleven billion, four hundred twenty-six million, four hundred fifty-six thousand, one hundred sixty".