11167632224760 has 256 divisors, whose sum is σ = 37423427880960. Its totient is φ = 2642587476480.

The previous prime is 11167632224747. The next prime is 11167632224839. The reversal of 11167632224760 is 6742223676111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86380887 + ... + 86510073.

It is an arithmetic number, because the mean of its divisors is an integer number (146185265160).

Almost surely, 2^{11167632224760} is an apocalyptic number.

11167632224760 is a gapful number since it is divisible by the number (10) 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 11167632224760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18711713940480).

11167632224760 is an abundant number, since it is smaller than the sum of its proper divisors (26255795656200).

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

11167632224760 is a wasteful number, since it uses less digits than its factorization.

11167632224760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130778 (or 130774 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 11167632224760 in words is "eleven trillion, one hundred sixty-seven billion, six hundred thirty-two million, two hundred twenty-four thousand, seven hundred sixty".