52729382250000 has 945 divisors, whose sum is σ = 190314636656313. Its totient is φ = 13628383200000.

The previous prime is 52729382249963. The next prime is 52729382250019. The reversal of 52729382250000 is 5228392725.

The square root of 52729382250000 is 7261500.

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

52729382250000 is a `hidden beast` number, since 52 + 7 + 2 + 93 + 8 + 2 + 2 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 46196000871696 + 6533381378304 = 6796764^2 + 2556048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 188 ways as a sum of consecutive naturals, for example, 511935749949 + ... + 511935750051.

Almost surely, 2^{52729382250000} is an apocalyptic number.

52729382250000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52729382250000 is the 7261500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52729382250000

52729382250000 is an abundant number, since it is smaller than the sum of its proper divisors (137585254406313).

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

52729382250000 is an frugal number, since it uses more digits than its factorization.

52729382250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 52729382250000 in words is "fifty-two trillion, seven hundred twenty-nine billion, three hundred eighty-two million, two hundred fifty thousand".