10000566620 has 48 divisors (see below), whose sum is σ = 22970400768. Its totient is φ = 3627044160.

The previous prime is 10000566577. The next prime is 10000566643. The reversal of 10000566620 is 2666500001.

It is a super-3 number, since 3×10000566620³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10000566620.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24917 + ... + 143603.

It is an arithmetic number, because the mean of its divisors is an integer number (478550016).

Almost surely, 2^10000566620 is an apocalyptic number.

10000566620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000566620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485200384).

10000566620 is an abundant number, since it is smaller than the sum of its proper divisors (12969834148).

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

10000566620 is a wasteful number, since it uses less digits than its factorization.

10000566620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119090 (or 119088 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 10000566620 in words is "ten billion, five hundred sixty-six thousand, six hundred twenty".