10579894655625 has 135 divisors (see below), whose sum is σ = 19746476221329. Its totient is φ = 5456687580000.

The previous prime is 10579894655581. The next prime is 10579894655683. The reversal of 10579894655625 is 52655649897501.

The square root of 10579894655625 is 3252675.

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

10579894655625 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 9 + 8 + 9 + 46 + 556 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 829463741001 + 9750430914624 = 910749^2 + 3122568^2 .

It is not a de Polignac number, because 10579894655625 - 2¹⁹ = 10579894131337 is a prime.

It is a super-2 number, since 2×10579894655625² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7562468676 + ... + 7562470074.

Almost surely, 2^{10579894655625} is an apocalyptic number.

10579894655625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10579894655625 is the 3252675-th square number.

10579894655625 is the 1626338-th centered octagonal number.

It is an amenable number.

10579894655625 is a deficient number, since it is larger than the sum of its proper divisors (9166581565704).

10579894655625 is an frugal number, since it uses more digits than its factorization.

10579894655625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 816480000, while the sum is 72.

The spelling of 10579894655625 in words is "ten trillion, five hundred seventy-nine billion, eight hundred ninety-four million, six hundred fifty-five thousand, six hundred twenty-five".