2011057019600 has 120 divisors (see below), whose sum is σ = 4894045299000. Its totient is φ = 794075166720.

The previous prime is 2011057019557. The next prime is 2011057019627. The reversal of 2011057019600 is 69107501102.

It can be written as a sum of positive squares in 12 ways, for example, as 271390986304 + 1739666033296 = 520952^2 + 1318964^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11642666 + ... + 11814134.

It is an arithmetic number, because the mean of its divisors is an integer number (40783710825).

Almost surely, 2^{2011057019600} is an apocalyptic number.

2011057019600 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 2011057019600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447022649500).

2011057019600 is an abundant number, since it is smaller than the sum of its proper divisors (2882988279400).

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

2011057019600 is a wasteful number, since it uses less digits than its factorization.

2011057019600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171865 (or 171854 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 2011057019600 in words is "two trillion, eleven billion, fifty-seven million, nineteen thousand, six hundred".