11053669536 has 672 divisors, whose sum is σ = 41460830208. Its totient is φ = 2821754880.

The previous prime is 11053669531. The next prime is 11053669547. The reversal of 11053669536 is 63596635011.

11053669536 is a `hidden beast` number, since 1 + 1 + 0 + 53 + 6 + 69 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×11053669536² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11053669491 and 11053669500.

It is not an unprimeable number, because it can be changed into a prime (11053669531) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 87036705 + ... + 87036831.

It is an arithmetic number, because the mean of its divisors is an integer number (61697664).

Almost surely, 2^11053669536 is an apocalyptic number.

11053669536 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 11053669536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20730415104).

11053669536 is an abundant number, since it is smaller than the sum of its proper divisors (30407160672).

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

11053669536 is a wasteful number, since it uses less digits than its factorization.

11053669536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 11053669536 in words is "eleven billion, fifty-three million, six hundred sixty-nine thousand, five hundred thirty-six".