10518553600 has 99 divisors (see below), whose sum is σ = 26114015011. Its totient is φ = 4200857600.

The previous prime is 10518553583. The next prime is 10518553627. The reversal of 10518553600 is 635581501.

The square root of 10518553600 is 102560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1080042496 + 9438511104 = 32864^2 + 97152^2 .

It is a super-2 number, since 2×10518553600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16409280 + ... + 16409920.

Almost surely, 2^10518553600 is an apocalyptic number.

10518553600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10518553600 is the 102560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10518553600

10518553600 is an abundant number, since it is smaller than the sum of its proper divisors (15595461411).

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

10518553600 is an frugal number, since it uses more digits than its factorization.

10518553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 10518553600 in words is "ten billion, five hundred eighteen million, five hundred fifty-three thousand, six hundred".