10257588834824 has 16 divisors (see below), whose sum is σ = 19233037946220. Its totient is φ = 5128778715840.

The previous prime is 10257588834821. The next prime is 10257588834841. The reversal of 10257588834824 is 42843888575201.

It can be written as a sum of positive squares in 2 ways, for example, as 9619810902724 + 637777932100 = 3101582^2 + 798610^2 .

It is a super-2 number, since 2×10257588834824² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10257588834821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1093742 + ... + 4659554.

Almost surely, 2^{10257588834824} is an apocalyptic number.

It is an amenable number.

10257588834824 is a deficient number, since it is larger than the sum of its proper divisors (8975449111396).

10257588834824 is a wasteful number, since it uses less digits than its factorization.

10257588834824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925400 (or 3925396 counting only the distinct ones).

The product of its (nonzero) digits is 137625600, while the sum is 65.

The spelling of 10257588834824 in words is "ten trillion, two hundred fifty-seven billion, five hundred eighty-eight million, eight hundred thirty-four thousand, eight hundred twenty-four".