10609852057218 has 96 divisors (see below), whose sum is σ = 23894636306112. Its totient is φ = 3400558761600.

The previous prime is 10609852057193. The next prime is 10609852057243. The reversal of 10609852057218 is 81275025890601.

10609852057218 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 9 + 8 + 52 + 0 + 572 + 18 = 666.

It is an interprime number because it is at equal distance from previous prime (10609852057193) and next prime (10609852057243).

It is a super-2 number, since 2×10609852057218² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 9086680 + ... + 10187612.

It is an arithmetic number, because the mean of its divisors is an integer number (248902461522).

Almost surely, 2^{10609852057218} is an apocalyptic number.

10609852057218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10609852057218 is an abundant number, since it is smaller than the sum of its proper divisors (13284784248894).

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

10609852057218 is a wasteful number, since it uses less digits than its factorization.

10609852057218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101200 (or 1101197 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 10609852057218 in words is "ten trillion, six hundred nine billion, eight hundred fifty-two million, fifty-seven thousand, two hundred eighteen".