10124416576 has 28 divisors (see below), whose sum is σ = 20093853132. Its totient is φ = 5061398528.

The previous prime is 10124416567. The next prime is 10124416619. The reversal of 10124416576 is 67561442101.

It can be written as a sum of positive squares in 2 ways, for example, as 1811353600 + 8313062976 = 42560^2 + 91176^2 .

It is a super-2 number, since 2×10124416576² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 714456 + ... + 728488.

Almost surely, 2^10124416576 is an apocalyptic number.

10124416576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10124416576 is a deficient number, since it is larger than the sum of its proper divisors (9969436556).

10124416576 is a wasteful number, since it uses less digits than its factorization.

10124416576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25318 (or 25308 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 10124416576 its reverse (67561442101), we get a palindrome (77685858677).

The spelling of 10124416576 in words is "ten billion, one hundred twenty-four million, four hundred sixteen thousand, five hundred seventy-six".