11056356864 has 360 divisors, whose sum is σ = 38751158160. Its totient is φ = 3020193792.

The previous prime is 11056356859. The next prime is 11056356889. The reversal of 11056356864 is 46865365011.

11056356864 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 635 + 6 + 8 + 6 + 4 = 666.

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 35 ways as a sum of consecutive naturals, for example, 5192152 + ... + 5194280.

It is an arithmetic number, because the mean of its divisors is an integer number (107642106).

Almost surely, 2^11056356864 is an apocalyptic number.

11056356864 is a gapful number since it is divisible by the number (14) 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 11056356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19375579080).

11056356864 is an abundant number, since it is smaller than the sum of its proper divisors (27694801296).

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

11056356864 is a wasteful number, since it uses less digits than its factorization.

11056356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11056356864 in words is "eleven billion, fifty-six million, three hundred fifty-six thousand, eight hundred sixty-four".