10531738624 has 88 divisors (see below), whose sum is σ = 23708779776. Its totient is φ = 4632576000.

The previous prime is 10531738573. The next prime is 10531738649. The reversal of 10531738624 is 42683713501.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×10531738624² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334104 + ... + 364264.

It is an arithmetic number, because the mean of its divisors is an integer number (269417952).

Almost surely, 2^10531738624 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 10531738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11854389888).

10531738624 is an abundant number, since it is smaller than the sum of its proper divisors (13177041152).

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

10531738624 is a wasteful number, since it uses less digits than its factorization.

10531738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30223 (or 30205 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 10531738624 in words is "ten billion, five hundred thirty-one million, seven hundred thirty-eight thousand, six hundred twenty-four".