10116516366 has 96 divisors (see below), whose sum is σ = 25675543296. Its totient is φ = 2844576000.

The previous prime is 10116516353. The next prime is 10116516379. The reversal of 10116516366 is 66361561101.

10116516366 is a `hidden beast` number, since 1 + 0 + 1 + 16 + 5 + 1 + 636 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10116516353) and next prime (10116516379).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10116516366.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217821 + ... + 260151.

It is an arithmetic number, because the mean of its divisors is an integer number (267453576).

Almost surely, 2^10116516366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10116516366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12837771648).

10116516366 is an abundant number, since it is smaller than the sum of its proper divisors (15559026930).

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

10116516366 is a wasteful number, since it uses less digits than its factorization.

10116516366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42438 (or 42435 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 10116516366 in words is "ten billion, one hundred sixteen million, five hundred sixteen thousand, three hundred sixty-six".