10503212544 has 480 divisors, whose sum is σ = 36179827200. Its totient is φ = 2983034880.

The previous prime is 10503212543. The next prime is 10503212569. The reversal of 10503212544 is 44521230501.

10503212544 is a `hidden beast` number, since 105 + 0 + 3 + 2 + 12 + 544 = 666.

It is a super-2 number, since 2×10503212544² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10503212543) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 43946377 + ... + 43946615.

It is an arithmetic number, because the mean of its divisors is an integer number (75374640).

Almost surely, 2^10503212544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10503212544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18089913600).

10503212544 is an abundant number, since it is smaller than the sum of its proper divisors (25676614656).

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

10503212544 is a wasteful number, since it uses less digits than its factorization.

10503212544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10503212544 in words is "ten billion, five hundred three million, two hundred twelve thousand, five hundred forty-four".