10544860416 has 144 divisors (see below), whose sum is σ = 29968114176. Its totient is φ = 3283703808.

The previous prime is 10544860409. The next prime is 10544860421. The reversal of 10544860416 is 61406844501.

It is a super-3 number, since 3×10544860416³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 752611 + ... + 766493.

It is an arithmetic number, because the mean of its divisors is an integer number (208111904).

Almost surely, 2^10544860416 is an apocalyptic number.

10544860416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10544860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984057088).

10544860416 is an abundant number, since it is smaller than the sum of its proper divisors (19423253760).

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

10544860416 is a wasteful number, since it uses less digits than its factorization.

10544860416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968 (or 13954 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 10544860416 in words is "ten billion, five hundred forty-four million, eight hundred sixty thousand, four hundred sixteen".