10086586624 has 27 divisors (see below), whose sum is σ = 20136980577. Its totient is φ = 5042489856.

The previous prime is 10086586621. The next prime is 10086586663. The reversal of 10086586624 is 42668568001.

The square root of 10086586624 is 100432.

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., 9856518400 + 230068224 = 99280^2 + 15168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10086586621) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1603774 + ... + 1610050.

Almost surely, 2^10086586624 is an apocalyptic number.

10086586624 is the 100432-nd square number.

It is an amenable number.

10086586624 is a deficient number, since it is larger than the sum of its proper divisors (10050393953).

10086586624 is an frugal number, since it uses more digits than its factorization.

10086586624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12570 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

It can be divided in two parts, 100865 and 86624, that added together give a square (187489 = 433²).

The spelling of 10086586624 in words is "ten billion, eighty-six million, five hundred eighty-six thousand, six hundred twenty-four".