10577524106116 has 72 divisors (see below), whose sum is σ = 21268632734720. Its totient is φ = 4593972240000.

The previous prime is 10577524106113. The next prime is 10577524106183. The reversal of 10577524106116 is 61160142577501.

It is a super-2 number, since 2×10577524106116² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10577524106113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3276585 + ... + 5647216.

Almost surely, 2^{10577524106116} is an apocalyptic number.

It is an amenable number.

10577524106116 is an abundant number, since it is smaller than the sum of its proper divisors (10691108628604).

10577524106116 is a wasteful number, since it uses less digits than its factorization.

10577524106116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8923937 (or 8923924 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 10577524106116 in words is "ten trillion, five hundred seventy-seven billion, five hundred twenty-four million, one hundred six thousand, one hundred sixteen".