11875561167736 has 128 divisors (see below), whose sum is σ = 27191522304000. Its totient is φ = 4748863946112.

The previous prime is 11875561167731. The next prime is 11875561167737. The reversal of 11875561167736 is 63776116557811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11875561167731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561667581 + ... + 561688723.

It is an arithmetic number, because the mean of its divisors is an integer number (212433768000).

Almost surely, 2^{11875561167736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11875561167736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595761152000).

11875561167736 is an abundant number, since it is smaller than the sum of its proper divisors (15315961136264).

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

11875561167736 is a wasteful number, since it uses less digits than its factorization.

11875561167736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29121 (or 29117 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 64.

The spelling of 11875561167736 in words is "eleven trillion, eight hundred seventy-five billion, five hundred sixty-one million, one hundred sixty-seven thousand, seven hundred thirty-six".