10002066516 has 96 divisors (see below), whose sum is σ = 28080998400. Its totient is φ = 3060478080.

The previous prime is 10002066493. The next prime is 10002066521. The reversal of 10002066516 is 61566020001.

It is a happy number.

10002066516 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 0 + 6 + 651 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10002066516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234445 + ... + 273803.

It is an arithmetic number, because the mean of its divisors is an integer number (292510400).

Almost surely, 2^10002066516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002066516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040499200).

10002066516 is an abundant number, since it is smaller than the sum of its proper divisors (18078931884).

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

10002066516 is a wasteful number, since it uses less digits than its factorization.

10002066516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39566 (or 39558 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10002066516 its reverse (61566020001), we get a palindrome (71568086517).

The spelling of 10002066516 in words is "ten billion, two million, sixty-six thousand, five hundred sixteen".