2011571865600 has 1152 divisors, whose sum is σ = 7818024614400. Its totient is φ = 450809036800.

The previous prime is 2011571865557. The next prime is 2011571865601. The reversal of 2011571865600 is 65681751102.

It is not an unprimeable number, because it can be changed into a prime (2011571865601) 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, 1694668207 + ... + 1694669393.

It is an arithmetic number, because the mean of its divisors is an integer number (6786479700).

Almost surely, 2^{2011571865600} is an apocalyptic number.

2011571865600 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 2011571865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909012307200).

2011571865600 is an abundant number, since it is smaller than the sum of its proper divisors (5806452748800).

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

2011571865600 is a wasteful number, since it uses less digits than its factorization.

2011571865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 2011571865600 in words is "two trillion, eleven billion, five hundred seventy-one million, eight hundred sixty-five thousand, six hundred".