11064856320 has 432 divisors, whose sum is σ = 44783811072. Its totient is φ = 2469519360.

The previous prime is 11064856291. The next prime is 11064856349. The reversal of 11064856320 is 2365846011.

It is a happy number.

11064856320 is a `hidden beast` number, since 1 + 1 + 0 + 648 + 5 + 6 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11064856291) and next prime (11064856349).

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 47 ways as a sum of consecutive naturals, for example, 3465925 + ... + 3469115.

Almost surely, 2^11064856320 is an apocalyptic number.

11064856320 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 11064856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391905536).

11064856320 is an abundant number, since it is smaller than the sum of its proper divisors (33718954752).

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

11064856320 is a wasteful number, since it uses less digits than its factorization.

11064856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11064856320 in words is "eleven billion, sixty-four million, eight hundred fifty-six thousand, three hundred twenty".