10586782224 has 240 divisors, whose sum is σ = 32256506880. Its totient is φ = 3233018880.

The previous prime is 10586782223. The next prime is 10586782231. The reversal of 10586782224 is 42228768501.

It is a super-2 number, since 2×10586782224² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10586782224.

It is not an unprimeable number, because it can be changed into a prime (10586782223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6860397 + ... + 6861939.

It is an arithmetic number, because the mean of its divisors is an integer number (134402112).

Almost surely, 2^10586782224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10586782224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128253440).

10586782224 is an abundant number, since it is smaller than the sum of its proper divisors (21669724656).

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

10586782224 is a wasteful number, since it uses less digits than its factorization.

10586782224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 10586782224 in words is "ten billion, five hundred eighty-six million, seven hundred eighty-two thousand, two hundred twenty-four".