11660264000 has 448 divisors, whose sum is σ = 37613002752. Its totient is φ = 3472128000.

The previous prime is 11660263973. The next prime is 11660264017. The reversal of 11660264000 is 46206611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14167589 + ... + 14168411.

Almost surely, 2^11660264000 is an apocalyptic number.

11660264000 is a gapful number since it is divisible by the number (10) 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 11660264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18806501376).

11660264000 is an abundant number, since it is smaller than the sum of its proper divisors (25952738752).

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

11660264000 is a wasteful number, since it uses less digits than its factorization.

11660264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 11660264000 in words is "eleven billion, six hundred sixty million, two hundred sixty-four thousand".