11179867205892 has 768 divisors, whose sum is σ = 35327578890240. Its totient is φ = 2664990720000.

The previous prime is 11179867205869. The next prime is 11179867205939. The reversal of 11179867205892 is 29850276897111.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26555503842 + ... + 26555504262.

It is an arithmetic number, because the mean of its divisors is an integer number (45999451680).

Almost surely, 2^{11179867205892} is an apocalyptic number.

11179867205892 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 11179867205892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17663789445120).

11179867205892 is an abundant number, since it is smaller than the sum of its proper divisors (24147711684348).

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

11179867205892 is a wasteful number, since it uses less digits than its factorization.

11179867205892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 66.

The spelling of 11179867205892 in words is "eleven trillion, one hundred seventy-nine billion, eight hundred sixty-seven million, two hundred five thousand, eight hundred ninety-two".