11167821439872 has 256 divisors, whose sum is σ = 30816834048000. Its totient is φ = 3579586560000.

The previous prime is 11167821439847. The next prime is 11167821439883. The reversal of 11167821439872 is 27893412876111.

It is a super-2 number, since 2×11167821439872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030141122 + ... + 2030146622.

It is an arithmetic number, because the mean of its divisors is an integer number (120378258000).

Almost surely, 2^{11167821439872} is an apocalyptic number.

11167821439872 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 11167821439872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15408417024000).

11167821439872 is an abundant number, since it is smaller than the sum of its proper divisors (19649012608128).

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

11167821439872 is a wasteful number, since it uses less digits than its factorization.

11167821439872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6593 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 60.

The spelling of 11167821439872 in words is "eleven trillion, one hundred sixty-seven billion, eight hundred twenty-one million, four hundred thirty-nine thousand, eight hundred seventy-two".