11664853120 has 64 divisors (see below), whose sum is σ = 27902591640. Its totient is φ = 4663214080.

The previous prime is 11664853111. The next prime is 11664853129. The reversal of 11664853120 is 2135846611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11664853111) and next prime (11664853129).

It can be written as a sum of positive squares in 4 ways, for example, as 11445576256 + 219276864 = 106984^2 + 14808^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11664853120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11664853120.

It is not an unprimeable number, because it can be changed into a prime (11664853129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1365984 + ... + 1374496.

Almost surely, 2^11664853120 is an apocalyptic number.

11664853120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11664853120 is an abundant number, since it is smaller than the sum of its proper divisors (16237738520).

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

11664853120 is an equidigital number, since it uses as much as digits as its factorization.

11664853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10673 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 11664853120 in words is "eleven billion, six hundred sixty-four million, eight hundred fifty-three thousand, one hundred twenty".