20085016420161 has 405 divisors, whose sum is σ = 39910906998963. Its totient is φ = 10028814586560.

The previous prime is 20085016420099. The next prime is 20085016420181. The reversal of 20085016420161 is 16102461058002.

It is a happy number.

The square root of 20085016420161 is 4481631.

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

20085016420161 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 5 + 0 + 1 + 642 + 0 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10532095411761 + 9552921008400 = 3245319^2 + 3090780^2 .

It is not a de Polignac number, because 20085016420161 - 2⁷ = 20085016420033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20085016420181) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 90067338096 + ... + 90067338318.

Almost surely, 2^{20085016420161} is an apocalyptic number.

20085016420161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20085016420161 is the 4481631-st square number.

20085016420161 is the 2240816-th centered octagonal number.

It is an amenable number.

20085016420161 is a deficient number, since it is larger than the sum of its proper divisors (19825890578802).

20085016420161 is an equidigital number, since it uses as much as digits as its factorization.

20085016420161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 20085016420161 by its sum of digits (36), we get a square (723060591125796 = 26889786²).

Adding to 20085016420161 its reverse (16102461058002), we get a palindrome (36187477478163).

The spelling of 20085016420161 in words is "twenty trillion, eighty-five billion, sixteen million, four hundred twenty thousand, one hundred sixty-one".