10590585645124 has 27 divisors (see below), whose sum is σ = 19151031044061. Its totient is φ = 5124379295520.

The previous prime is 10590585645053. The next prime is 10590585645149. The reversal of 10590585645124 is 42154658509501.

It is a happy number.

The square root of 10590585645124 is 3254318.

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., 1734009645124 + 8856576000000 = 1316818^2 + 2976000^2 .

It is a super-2 number, since 2×10590585645124² (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 8 ways as a sum of consecutive naturals, for example, 201741472 + ... + 201793960.

Almost surely, 2^{10590585645124} is an apocalyptic number.

10590585645124 is the 3254318-th square number.

It is an amenable number.

10590585645124 is a deficient number, since it is larger than the sum of its proper divisors (8560445398937).

10590585645124 is an frugal number, since it uses more digits than its factorization.

10590585645124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105044 (or 52522 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 55.

The spelling of 10590585645124 in words is "ten trillion, five hundred ninety billion, five hundred eighty-five million, six hundred forty-five thousand, one hundred twenty-four".