10206563560020 has 36 divisors (see below), whose sum is σ = 30959909465940. Its totient is φ = 2721750282624.

The previous prime is 10206563560003. The next prime is 10206563560021. The reversal of 10206563560020 is 2006536560201.

It is a happy number.

10206563560020 is a `hidden beast` number, since 1 + 0 + 20 + 6 + 5 + 6 + 3 + 5 + 600 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4648974197904 + 5557589362116 = 2156148^2 + 2357454^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10206563560020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206563560021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28351565265 + ... + 28351565624.

It is an arithmetic number, because the mean of its divisors is an integer number (859997485165).

Almost surely, 2^{10206563560020} is an apocalyptic number.

10206563560020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10206563560020 is an abundant number, since it is smaller than the sum of its proper divisors (20753345905920).

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

10206563560020 is a wasteful number, since it uses less digits than its factorization.

10206563560020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56703130904 (or 56703130899 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10206563560020 in words is "ten trillion, two hundred six billion, five hundred sixty-three million, five hundred sixty thousand, twenty".