11064278304000 has 864 divisors, whose sum is σ = 40821714146304. Its totient is φ = 2876398387200.

The previous prime is 11064278303977. The next prime is 11064278304031. The reversal of 11064278304000 is 40387246011.

11064278304000 is a `hidden beast` number, since 1 + 1 + 0 + 642 + 7 + 8 + 3 + 0 + 4 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2488029777 + ... + 2488034223.

It is an arithmetic number, because the mean of its divisors is an integer number (47247354336).

Almost surely, 2^{11064278304000} is an apocalyptic number.

11064278304000 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 11064278304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20410857073152).

11064278304000 is an abundant number, since it is smaller than the sum of its proper divisors (29757435842304).

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

11064278304000 is a wasteful number, since it uses less digits than its factorization.

11064278304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11064278304000 in words is "eleven trillion, sixty-four billion, two hundred seventy-eight million, three hundred four thousand".