21727016000010 has 48 divisors (see below), whose sum is σ = 56522689016040. Its totient is φ = 5790542993280.

The previous prime is 21727015999999. The next prime is 21727016000057. The reversal of 21727016000010 is 1000061072712.

21727016000010 is a `hidden beast` number, since 21 + 7 + 27 + 0 + 1 + 600 + 0 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5346208722969 + 16380807277041 = 2312187^2 + 4047321^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69174525 + ... + 69487904.

Almost surely, 2^{21727016000010} is an apocalyptic number.

21727016000010 is an abundant number, since it is smaller than the sum of its proper divisors (34795673016030).

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

21727016000010 is a wasteful number, since it uses less digits than its factorization.

21727016000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138664183 (or 138664180 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

Adding to 21727016000010 its reverse (1000061072712), we get a palindrome (22727077072722).

The spelling of 21727016000010 in words is "twenty-one trillion, seven hundred twenty-seven billion, sixteen million, ten", and thus it is an aban number.