10529731296 has 384 divisors, whose sum is σ = 37823385600. Its totient is φ = 2782563840.

The previous prime is 10529731241. The next prime is 10529731297. The reversal of 10529731296 is 69213792501.

It is a happy number.

10529731296 is a `hidden beast` number, since 1 + 0 + 529 + 7 + 31 + 2 + 96 = 666.

It is a super-2 number, since 2×10529731296² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10529731297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4940151 + ... + 4942281.

It is an arithmetic number, because the mean of its divisors is an integer number (98498400).

Almost surely, 2^10529731296 is an apocalyptic number.

10529731296 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 10529731296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18911692800).

10529731296 is an abundant number, since it is smaller than the sum of its proper divisors (27293654304).

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

10529731296 is a wasteful number, since it uses less digits than its factorization.

10529731296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10529731296 in words is "ten billion, five hundred twenty-nine million, seven hundred thirty-one thousand, two hundred ninety-six".