10872916416 has 84 divisors (see below), whose sum is σ = 32319566552. Its totient is φ = 3624300288.

The previous prime is 10872916399. The next prime is 10872916427. The reversal of 10872916416 is 61461927801.

It is a super-2 number, since 2×10872916416² (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 334015 + ... + 365118.

Almost surely, 2^10872916416 is an apocalyptic number.

10872916416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10872916416 is an abundant number, since it is smaller than the sum of its proper divisors (21446650136).

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

10872916416 is an frugal number, since it uses more digits than its factorization.

10872916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699160 (or 699138 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10872916416 in words is "ten billion, eight hundred seventy-two million, nine hundred sixteen thousand, four hundred sixteen".