69125256505600 has 243 divisors, whose sum is σ = 172944464148603. Its totient is φ = 27354517585920.

The previous prime is 69125256505493. The next prime is 69125256505603. The reversal of 69125256505600 is 650565252196.

The square root of 69125256505600 is 8314160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7692768205056 + 61432488300544 = 2773584^2 + 7837888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (69125256505603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68508677896 + ... + 68508678904.

Almost surely, 2^{69125256505600} is an apocalyptic number.

69125256505600 is the 8314160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69125256505600

69125256505600 is an abundant number, since it is smaller than the sum of its proper divisors (103819207643003).

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

69125256505600 is an frugal number, since it uses more digits than its factorization.

69125256505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 52.

The spelling of 69125256505600 in words is "sixty-nine trillion, one hundred twenty-five billion, two hundred fifty-six million, five hundred five thousand, six hundred".