10711185513664 has 168 divisors, whose sum is σ = 22229727214320. Its totient is φ = 5120223713280.

The previous prime is 10711185513643. The next prime is 10711185513671. The reversal of 10711185513664 is 46631558111701.

It is a super-2 number, since 2×10711185513664² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1728443814 + ... + 1728450010.

Almost surely, 2^{10711185513664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10711185513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11114863607160).

10711185513664 is an abundant number, since it is smaller than the sum of its proper divisors (11518541700656).

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

10711185513664 is a wasteful number, since it uses less digits than its factorization.

10711185513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6566 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 49.

The spelling of 10711185513664 in words is "ten trillion, seven hundred eleven billion, one hundred eighty-five million, five hundred thirteen thousand, six hundred sixty-four".