10527580816 has 45 divisors (see below), whose sum is σ = 20670348361. Its totient is φ = 5194224896.

The previous prime is 10527580813. The next prime is 10527580829. The reversal of 10527580816 is 61808572501.

The square root of 10527580816 is 102604.

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., 185504400 + 10342076416 = 13620^2 + 101696^2 .

It is a super-2 number, since 2×10527580816² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10527580813) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46376895 + ... + 46377121.

Almost surely, 2^10527580816 is an apocalyptic number.

10527580816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10527580816 is the 102604-th square number.

It is an amenable number.

10527580816 is a deficient number, since it is larger than the sum of its proper divisors (10142767545).

10527580816 is an frugal number, since it uses more digits than its factorization.

10527580816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 43.

The spelling of 10527580816 in words is "ten billion, five hundred twenty-seven million, five hundred eighty thousand, eight hundred sixteen".