11881357566 has 64 divisors (see below), whose sum is σ = 25858103040. Its totient is φ = 3617752320.

The previous prime is 11881357559. The next prime is 11881357567. The reversal of 11881357566 is 66575318811.

11881357566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11881357566² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11881357567) 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 31 ways as a sum of consecutive naturals, for example, 4177741 + ... + 4180583.

It is an arithmetic number, because the mean of its divisors is an integer number (404032860).

Almost surely, 2^11881357566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11881357566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12929051520).

11881357566 is an abundant number, since it is smaller than the sum of its proper divisors (13976745474).

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

11881357566 is a wasteful number, since it uses less digits than its factorization.

11881357566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401.

The product of its digits is 1209600, while the sum is 51.

The spelling of 11881357566 in words is "eleven billion, eight hundred eighty-one million, three hundred fifty-seven thousand, five hundred sixty-six".