69752229168400 has 135 divisors (see below), whose sum is σ = 168155159129613. Its totient is φ = 27805414118400.

The previous prime is 69752229168379. The next prime is 69752229168451. The reversal of 69752229168400 is 486192225796.

The square root of 69752229168400 is 8351780.

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

69752229168400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 8526236480784 + 61225992687616 = 2919972^2 + 7824704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68317559890 + ... + 68317560910.

Almost surely, 2^{69752229168400} is an apocalyptic number.

69752229168400 is the 8351780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69752229168400

69752229168400 is an abundant number, since it is smaller than the sum of its proper divisors (98402929961213).

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

69752229168400 is an frugal number, since it uses more digits than its factorization.

69752229168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 69752229168400 in words is "sixty-nine trillion, seven hundred fifty-two billion, two hundred twenty-nine million, one hundred sixty-eight thousand, four hundred".