2011371709600 has 144 divisors (see below), whose sum is σ = 5357742770016. Its totient is φ = 731258496000.

The previous prime is 2011371709561. The next prime is 2011371709601. The reversal of 2011371709600 is 69071731102.

It is a self number, because there is not a number n which added to its sum of digits gives 2011371709600.

It is not an unprimeable number, because it can be changed into a prime (2011371709601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48881035 + ... + 48922165.

It is an arithmetic number, because the mean of its divisors is an integer number (37206547014).

Almost surely, 2^{2011371709600} is an apocalyptic number.

2011371709600 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 2011371709600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678871385008).

2011371709600 is an abundant number, since it is smaller than the sum of its proper divisors (3346371060416).

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

2011371709600 is a wasteful number, since it uses less digits than its factorization.

2011371709600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46719 (or 46706 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 37.

The spelling of 2011371709600 in words is "two trillion, eleven billion, three hundred seventy-one million, seven hundred nine thousand, six hundred".