10052729724816 has 225 divisors, whose sum is σ = 29065767639909. Its totient is φ = 3243451797504.

The previous prime is 10052729724809. The next prime is 10052729724833. The reversal of 10052729724816 is 61842792725001.

The square root of 10052729724816 is 3170604.

It is a perfect power (a square), and thus also a powerful number.

10052729724816 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 72 + 97 + 2 + 481 + 6 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 212613210000 + 9840116514816 = 461100^2 + 3136896^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 52086682416 + ... + 52086682608.

Almost surely, 2^{10052729724816} is an apocalyptic number.

10052729724816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10052729724816 is the 3170604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10052729724816

10052729724816 is an abundant number, since it is smaller than the sum of its proper divisors (19013037915093).

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

10052729724816 is an frugal number, since it uses more digits than its factorization.

10052729724816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 10052729724816 in words is "ten trillion, fifty-two billion, seven hundred twenty-nine million, seven hundred twenty-four thousand, eight hundred sixteen".