10558249965216 has 192 divisors, whose sum is σ = 31801943496960. Its totient is φ = 3405376650240.

The previous prime is 10558249965127. The next prime is 10558249965227. The reversal of 10558249965216 is 61256994285501.

10558249965216 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 82 + 499 + 6 + 52 + 16 = 666.

It is a super-2 number, since 2×10558249965216² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4873845 + ... + 6698571.

It is an arithmetic number, because the mean of its divisors is an integer number (165635122380).

Almost surely, 2^{10558249965216} is an apocalyptic number.

10558249965216 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 10558249965216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15900971748480).

10558249965216 is an abundant number, since it is smaller than the sum of its proper divisors (21243693531744).

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

10558249965216 is a wasteful number, since it uses less digits than its factorization.

10558249965216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824964 (or 1824950 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 10558249965216 in words is "ten trillion, five hundred fifty-eight billion, two hundred forty-nine million, nine hundred sixty-five thousand, two hundred sixteen".