10267677816 has 64 divisors (see below), whose sum is σ = 29649991680. Its totient is φ = 2928391680.

The previous prime is 10267677793. The next prime is 10267677821. The reversal of 10267677816 is 61877676201.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139416 + ... + 1148391.

It is an arithmetic number, because the mean of its divisors is an integer number (463281120).

Almost surely, 2^10267677816 is an apocalyptic number.

It is an amenable number.

10267677816 is an abundant number, since it is smaller than the sum of its proper divisors (19382313864).

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

10267677816 is a wasteful number, since it uses less digits than its factorization.

10267677816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287844 (or 2287840 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 10267677816 in words is "ten billion, two hundred sixty-seven million, six hundred seventy-seven thousand, eight hundred sixteen".