2011251759200 has 144 divisors (see below), whose sum is σ = 5004593748000. Its totient is φ = 789008363520.

The previous prime is 2011251759131. The next prime is 2011251759211. The reversal of 2011251759200 is 29571521102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127149692 + ... + 127165508.

It is an arithmetic number, because the mean of its divisors is an integer number (34754123250).

Almost surely, 2^{2011251759200} is an apocalyptic number.

2011251759200 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 2011251759200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502296874000).

2011251759200 is an abundant number, since it is smaller than the sum of its proper divisors (2993341988800).

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

2011251759200 is a wasteful number, since it uses less digits than its factorization.

2011251759200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18889 (or 18876 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 35.

The spelling of 2011251759200 in words is "two trillion, eleven billion, two hundred fifty-one million, seven hundred fifty-nine thousand, two hundred".