11051588016 has 240 divisors, whose sum is σ = 36475742784. Its totient is φ = 3057647616.

The previous prime is 11051588011. The next prime is 11051588027. The reversal of 11051588016 is 61088515011.

11051588016 is a `hidden beast` number, since 1 + 10 + 51 + 588 + 0 + 16 = 666.

11051588016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11051588011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9584496 + ... + 9585648.

Almost surely, 2^11051588016 is an apocalyptic number.

11051588016 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 11051588016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18237871392).

11051588016 is an abundant number, since it is smaller than the sum of its proper divisors (25424154768).

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

11051588016 is a wasteful number, since it uses less digits than its factorization.

11051588016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

The spelling of 11051588016 in words is "eleven billion, fifty-one million, five hundred eighty-eight thousand, sixteen".