10566816416 has 24 divisors (see below), whose sum is σ = 22403683764. Its totient is φ = 4876992000.

The previous prime is 10566816383. The next prime is 10566816437. The reversal of 10566816416 is 61461866501.

It can be written as a sum of positive squares in 2 ways, for example, as 10530864400 + 35952016 = 102620^2 + 5996^2 .

It is a super-2 number, since 2×10566816416² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12700085 + ... + 12700916.

Almost surely, 2^10566816416 is an apocalyptic number.

10566816416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10566816416 is an abundant number, since it is smaller than the sum of its proper divisors (11836867348).

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

10566816416 is a wasteful number, since it uses less digits than its factorization.

10566816416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25401024 (or 25401016 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 10566816416 in words is "ten billion, five hundred sixty-six million, eight hundred sixteen thousand, four hundred sixteen".