10607018268224 has 84 divisors (see below), whose sum is σ = 25925039415756. Its totient is φ = 4278461128704.

The previous prime is 10607018268211. The next prime is 10607018268257. The reversal of 10607018268224 is 42286281070601.

It can be written as a sum of positive squares in 2 ways, for example, as 9501929550400 + 1105088717824 = 3082520^2 + 1051232^2 .

It is a super-2 number, since 2×10607018268224² (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 11 ways as a sum of consecutive naturals, for example, 99427277 + ... + 99533900.

Almost surely, 2^{10607018268224} is an apocalyptic number.

10607018268224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10607018268224 is an abundant number, since it is smaller than the sum of its proper divisors (15318021147532).

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

10607018268224 is a wasteful number, since it uses less digits than its factorization.

10607018268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198961220 (or 198961203 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 10607018268224 in words is "ten trillion, six hundred seven billion, eighteen million, two hundred sixty-eight thousand, two hundred twenty-four".