11056593607488 has 1568 divisors, whose sum is σ = 41526458894592. Its totient is φ = 2867739033600.

The previous prime is 11056593607447. The next prime is 11056593607519. The reversal of 11056593607488 is 88470639565011.

11056593607488 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 6 + 5 + 93 + 60 + 7 + 488 = 666.

It is a super-2 number, since 2×11056593607488² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8052871570 + ... + 8052872942.

Almost surely, 2^{11056593607488} is an apocalyptic number.

11056593607488 is a gapful number since it is divisible by the number (18) 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 11056593607488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20763229447296).

11056593607488 is an abundant number, since it is smaller than the sum of its proper divisors (30469865287104).

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

11056593607488 is a wasteful number, since it uses less digits than its factorization.

11056593607488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 11056593607488 in words is "eleven trillion, fifty-six billion, five hundred ninety-three million, six hundred seven thousand, four hundred eighty-eight".