10711669536 has 144 divisors (see below), whose sum is σ = 32382454104. Its totient is φ = 3347054592.

The previous prime is 10711669531. The next prime is 10711669547. The reversal of 10711669536 is 63596611701.

10711669536 is a `hidden beast` number, since 107 + 1 + 1 + 6 + 6 + 9 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9071419536 + 1640250000 = 95244^2 + 40500^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10711669536² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10711669491 and 10711669500.

It is not an unprimeable number, because it can be changed into a prime (10711669531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1254016 + ... + 1262528.

Almost surely, 2^10711669536 is an apocalyptic number.

10711669536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10711669536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191227052).

10711669536 is an abundant number, since it is smaller than the sum of its proper divisors (21670784568).

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

10711669536 is a wasteful number, since it uses less digits than its factorization.

10711669536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8803 (or 8792 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 10711669536 in words is "ten billion, seven hundred eleven million, six hundred sixty-nine thousand, five hundred thirty-six".