11541267672 has 64 divisors (see below), whose sum is σ = 31544501760. Its totient is φ = 3489763200.

The previous prime is 11541267671. The next prime is 11541267701. The reversal of 11541267672 is 27676214511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11541267671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75022 + ... + 169442.

It is an arithmetic number, because the mean of its divisors is an integer number (492882840).

Almost surely, 2^11541267672 is an apocalyptic number.

11541267672 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 11541267672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772250880).

11541267672 is an abundant number, since it is smaller than the sum of its proper divisors (20003234088).

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

11541267672 is a wasteful number, since it uses less digits than its factorization.

11541267672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94904 (or 94900 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The spelling of 11541267672 in words is "eleven billion, five hundred forty-one million, two hundred sixty-seven thousand, six hundred seventy-two".