2011176368820 has 192 divisors, whose sum is σ = 6380466785280. Its totient is φ = 525747456000.

The previous prime is 2011176368813. The next prime is 2011176368857. The reversal of 2011176368820 is 288636711102.

2011176368820 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 1 + 7 + 636 + 8 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34343365 + ... + 34401875.

It is an arithmetic number, because the mean of its divisors is an integer number (33231597840).

Almost surely, 2^{2011176368820} is an apocalyptic number.

2011176368820 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 2011176368820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190233392640).

2011176368820 is an abundant number, since it is smaller than the sum of its proper divisors (4369290416460).

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

2011176368820 is a wasteful number, since it uses less digits than its factorization.

2011176368820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59783 (or 59775 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2011176368820 in words is "two trillion, eleven billion, one hundred seventy-six million, three hundred sixty-eight thousand, eight hundred twenty".