11668011264000 has 4608 divisors, whose sum is σ = 56923461504000. Its totient is φ = 2229534720000.

The previous prime is 11668011263989. The next prime is 11668011264043. The reversal of 11668011264000 is 46211086611.

11668011264000 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 8 + 0 + 1 + 1 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×11668011264000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115524863950 + ... + 115524864050.

It is an arithmetic number, because the mean of its divisors is an integer number (12353181750).

Almost surely, 2^{11668011264000} is an apocalyptic number.

11668011264000 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 11668011264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28461730752000).

11668011264000 is an abundant number, since it is smaller than the sum of its proper divisors (45255450240000).

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

11668011264000 is a wasteful number, since it uses less digits than its factorization.

11668011264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11668011264000 in words is "eleven trillion, six hundred sixty-eight billion, eleven million, two hundred sixty-four thousand".