10873227456 has 588 divisors, whose sum is σ = 40237422192. Its totient is φ = 2853107712.

The previous prime is 10873227419. The next prime is 10873227467. The reversal of 10873227456 is 65472237801.

10873227456 is a `hidden beast` number, since 108 + 73 + 2 + 27 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 55193950 + ... + 55194146.

Almost surely, 2^10873227456 is an apocalyptic number.

10873227456 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 10873227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20118711096).

10873227456 is an abundant number, since it is smaller than the sum of its proper divisors (29364194736).

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

10873227456 is an equidigital number, since it uses as much as digits as its factorization.

10873227456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10873227456 in words is "ten billion, eight hundred seventy-three million, two hundred twenty-seven thousand, four hundred fifty-six".