2011119167200 has 576 divisors, whose sum is σ = 6005090649600. Its totient is φ = 647610163200.

The previous prime is 2011119167179. The next prime is 2011119167203. The reversal of 2011119167200 is 27619111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011119167203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540766941 + ... + 540770659.

It is an arithmetic number, because the mean of its divisors is an integer number (10425504600).

Almost surely, 2^{2011119167200} is an apocalyptic number.

2011119167200 is a gapful number since it is divisible by the number (20) 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 2011119167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002545324800).

2011119167200 is an abundant number, since it is smaller than the sum of its proper divisors (3993971482400).

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

2011119167200 is a wasteful number, since it uses less digits than its factorization.

2011119167200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3942 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 31.

The spelling of 2011119167200 in words is "two trillion, eleven billion, one hundred nineteen million, one hundred sixty-seven thousand, two hundred".