10082364516 has 168 divisors, whose sum is σ = 31825711680. Its totient is φ = 2728956096.

The previous prime is 10082364473. The next prime is 10082364527. The reversal of 10082364516 is 61546328001.

It is a happy number.

10082364516 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 2 + 3 + 645 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 374830 + ... + 400826.

It is an arithmetic number, because the mean of its divisors is an integer number (189438760).

Almost surely, 2^10082364516 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 10082364516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912855840).

10082364516 is an abundant number, since it is smaller than the sum of its proper divisors (21743347164).

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

10082364516 is a wasteful number, since it uses less digits than its factorization.

10082364516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26045 (or 26028 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10082364516 in words is "ten billion, eighty-two million, three hundred sixty-four thousand, five hundred sixteen".