10544316480 has 224 divisors, whose sum is σ = 38481609600. Its totient is φ = 2714793984.

The previous prime is 10544316469. The next prime is 10544316539. The reversal of 10544316480 is 8461344501.

10544316480 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 3 + 1 + 648 + 0 = 666.

It is a super-2 number, since 2×10544316480² (a number of 21 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 229519 + ... + 271601.

It is an arithmetic number, because the mean of its divisors is an integer number (171792900).

Almost surely, 2^10544316480 is an apocalyptic number.

10544316480 is a gapful number since it is divisible by the number (10) 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 10544316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19240804800).

10544316480 is an abundant number, since it is smaller than the sum of its proper divisors (27937293120).

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

10544316480 is a wasteful number, since it uses less digits than its factorization.

10544316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42138 (or 42122 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10544316480 in words is "ten billion, five hundred forty-four million, three hundred sixteen thousand, four hundred eighty".