10586290380964 has 9 divisors (see below), whose sum is σ = 18526019554497. Its totient is φ = 5293141936824.

The previous prime is 10586290380931. The next prime is 10586290380983. The reversal of 10586290380964 is 46908309268501.

The square root of 10586290380964 is 3253658.

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

It can be written as a sum of positive squares in only one way, i.e., 499060299364 + 10087230081600 = 706442^2 + 3176040^2 .

It is a super-2 number, since 2×10586290380964² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5693902 + ... + 7320730.

Almost surely, 2^{10586290380964} is an apocalyptic number.

10586290380964 is the 3253658-th square number.

It is an amenable number.

10586290380964 is a deficient number, since it is larger than the sum of its proper divisors (7939729173533).

10586290380964 is an frugal number, since it uses more digits than its factorization.

10586290380964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253662 (or 1626831 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 10586290380964 in words is "ten trillion, five hundred eighty-six billion, two hundred ninety million, three hundred eighty thousand, nine hundred sixty-four".