10518044983680 has 1024 divisors, whose sum is σ = 37316011622400. Its totient is φ = 2504213397504.

The previous prime is 10518044983637. The next prime is 10518044983681. The reversal of 10518044983680 is 8638944081501.

It is a super-2 number, since 2×10518044983680² (a number of 27 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 10518044983680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10518044983681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24291096744 + ... + 24291097176.

It is an arithmetic number, because the mean of its divisors is an integer number (36441417600).

Almost surely, 2^{10518044983680} is an apocalyptic number.

10518044983680 is a gapful number since it is divisible by the number (10) 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 10518044983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18658005811200).

10518044983680 is an abundant number, since it is smaller than the sum of its proper divisors (26797966638720).

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

10518044983680 is a wasteful number, since it uses less digits than its factorization.

10518044983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 10518044983680 in words is "ten trillion, five hundred eighteen billion, forty-four million, nine hundred eighty-three thousand, six hundred eighty".