10535645216 has 48 divisors (see below), whose sum is σ = 21317698584. Its totient is φ = 5121828864.

The previous prime is 10535645201. The next prime is 10535645243. The reversal of 10535645216 is 61254653501.

It can be written as a sum of positive squares in 4 ways, for example, as 9644025616 + 891619600 = 98204^2 + 29860^2 .

It is a super-2 number, since 2×10535645216² (a number of 21 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 10535645216.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2547086 + ... + 2551218.

Almost surely, 2^10535645216 is an apocalyptic number.

10535645216 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 10535645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10658849292).

10535645216 is an abundant number, since it is smaller than the sum of its proper divisors (10782053368).

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

10535645216 is a wasteful number, since it uses less digits than its factorization.

10535645216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6325 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 10535645216 in words is "ten billion, five hundred thirty-five million, six hundred forty-five thousand, two hundred sixteen".