11566042876032 has 128 divisors (see below), whose sum is σ = 32532816931200. Its totient is φ = 3628191989760.

The previous prime is 11566042876013. The next prime is 11566042876051. The reversal of 11566042876032 is 23067824066511.

It is an interprime number because it is at equal distance from previous prime (11566042876013) and next prime (11566042876051).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×11566042876032³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67747194 + ... + 67917702.

It is an arithmetic number, because the mean of its divisors is an integer number (254162632275).

Almost surely, 2^{11566042876032} is an apocalyptic number.

11566042876032 is a gapful number since it is divisible by the number (12) 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 11566042876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266408465600).

11566042876032 is an abundant number, since it is smaller than the sum of its proper divisors (20966774055168).

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

11566042876032 is a wasteful number, since it uses less digits than its factorization.

11566042876032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180934 (or 180922 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 11566042876032 in words is "eleven trillion, five hundred sixty-six billion, forty-two million, eight hundred seventy-six thousand, thirty-two".