11047216008960 has 576 divisors, whose sum is σ = 41021726054400. Its totient is φ = 2809918881792.

The previous prime is 11047216008929. The next prime is 11047216008989. The reversal of 11047216008960 is 6980061274011.

11047216008960 is a `hidden beast` number, since 1 + 10 + 4 + 7 + 21 + 600 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11047216008960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285342564 + ... + 285381276.

It is an arithmetic number, because the mean of its divisors is an integer number (71218274400).

Almost surely, 2^{11047216008960} is an apocalyptic number.

11047216008960 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 11047216008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20510863027200).

11047216008960 is an abundant number, since it is smaller than the sum of its proper divisors (29974510045440).

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

11047216008960 is a wasteful number, since it uses less digits than its factorization.

11047216008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39125 (or 39105 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11047216008960 in words is "eleven trillion, forty-seven billion, two hundred sixteen million, eight thousand, nine hundred sixty".