10711180564 has 48 divisors (see below), whose sum is σ = 21823603200. Its totient is φ = 4504872960.

The previous prime is 10711180561. The next prime is 10711180577. The reversal of 10711180564 is 46508111701.

It is a super-2 number, since 2×10711180564² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10711180561) 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 15 ways as a sum of consecutive naturals, for example, 759909 + ... + 773875.

It is an arithmetic number, because the mean of its divisors is an integer number (454658400).

Almost surely, 2^10711180564 is an apocalyptic number.

10711180564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10711180564 is an abundant number, since it is smaller than the sum of its proper divisors (11112422636).

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

10711180564 is a wasteful number, since it uses less digits than its factorization.

10711180564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14488 (or 14486 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 34.

The spelling of 10711180564 in words is "ten billion, seven hundred eleven million, one hundred eighty thousand, five hundred sixty-four".