10742825640625 has 63 divisors (see below), whose sum is σ = 14547981381111. Its totient is φ = 7929230400000.

The previous prime is 10742825640623. The next prime is 10742825640643. The reversal of 10742825640625 is 52604652824701.

It is a happy number.

The square root of 10742825640625 is 3277625.

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

It can be written as a sum of positive squares in 31 ways, for example, as 1269874310769 + 9472951329856 = 1126887^2 + 3077816^2 .

It is not a de Polignac number, because 10742825640625 - 2¹ = 10742825640623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10742825640623) 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 62 ways as a sum of consecutive naturals, for example, 5326139617 + ... + 5326141633.

Almost surely, 2^{10742825640625} is an apocalyptic number.

10742825640625 is the 3277625-th square number.

10742825640625 is the 1638813-rd centered octagonal number.

It is an amenable number.

10742825640625 is a deficient number, since it is larger than the sum of its proper divisors (3805155740486).

10742825640625 is an frugal number, since it uses more digits than its factorization.

10742825640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 10742825640625 in words is "ten trillion, seven hundred forty-two billion, eight hundred twenty-five million, six hundred forty thousand, six hundred twenty-five".