10971662522500 has 135 divisors (see below), whose sum is σ = 24803367067017. Its totient is φ = 4245107760000.

The previous prime is 10971662522467. The next prime is 10971662522539. The reversal of 10971662522500 is 522526617901.

The square root of 10971662522500 is 3312350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 10919151883396 + 52510639104 = 3304414^2 + 229152^2 .

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 5134141432 + ... + 5134143568.

Almost surely, 2^{10971662522500} is an apocalyptic number.

10971662522500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10971662522500 is the 3312350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10971662522500

10971662522500 is an abundant number, since it is smaller than the sum of its proper divisors (13831704544517).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10971662522500 is an frugal number, since it uses more digits than its factorization.

10971662522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 10971662522500 in words is "ten trillion, nine hundred seventy-one billion, six hundred sixty-two million, five hundred twenty-two thousand, five hundred".