10717766440000 has 105 divisors (see below), whose sum is σ = 26578201188297. Its totient is φ = 4286844672000.

The previous prime is 10717766439983. The next prime is 10717766440019. The reversal of 10717766440000 is 4466771701.

The square root of 10717766440000 is 3273800.

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 9715589256256 + 1002177183744 = 3116984^2 + 1001088^2 .

It is a super-2 number, since 2×10717766440000² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 654751816 + ... + 654768184.

Almost surely, 2^{10717766440000} is an apocalyptic number.

10717766440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10717766440000 is the 3273800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10717766440000

10717766440000 is an abundant number, since it is smaller than the sum of its proper divisors (15860434748297).

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

10717766440000 is an frugal number, since it uses more digits than its factorization.

10717766440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32770 (or 16376 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 43.

The spelling of 10717766440000 in words is "ten trillion, seven hundred seventeen billion, seven hundred sixty-six million, four hundred forty thousand".