10005615165566 has 16 divisors (see below), whose sum is σ = 15078274358784. Its totient is φ = 4979531300184.

The previous prime is 10005615165563. The next prime is 10005615165569. The reversal of 10005615165566 is 66556151650001.

It is an interprime number because it is at equal distance from previous prime (10005615165563) and next prime (10005615165569).

It is a super-2 number, since 2×10005615165566² (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 10005615165566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005615165563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747845 + ... + 4535471.

It is an arithmetic number, because the mean of its divisors is an integer number (942392147424).

Almost surely, 2^{10005615165566} is an apocalyptic number.

10005615165566 is a deficient number, since it is larger than the sum of its proper divisors (5072659193218).

10005615165566 is a wasteful number, since it uses less digits than its factorization.

10005615165566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793775.

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 10005615165566 in words is "ten trillion, five billion, six hundred fifteen million, one hundred sixty-five thousand, five hundred sixty-six".