11005887424896 has 768 divisors, whose sum is σ = 40412289415680. Its totient is φ = 2797645824000.

The previous prime is 11005887424823. The next prime is 11005887424943. The reversal of 11005887424896 is 69842478850011.

11005887424896 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 5 + 88 + 74 + 2 + 489 + 6 = 666.

It is a super-2 number, since 2×11005887424896² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 356727871 + ... + 356758721.

It is an arithmetic number, because the mean of its divisors is an integer number (52620168510).

Almost surely, 2^{11005887424896} is an apocalyptic number.

11005887424896 is a gapful number since it is divisible by the number (16) 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 11005887424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206144707840).

11005887424896 is an abundant number, since it is smaller than the sum of its proper divisors (29406401990784).

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

11005887424896 is a wasteful number, since it uses less digits than its factorization.

11005887424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31015 (or 31000 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 11005887424896 in words is "eleven trillion, five billion, eight hundred eighty-seven million, four hundred twenty-four thousand, eight hundred ninety-six".