2011205427600 has 120 divisors (see below), whose sum is σ = 6442926893152. Its totient is φ = 536291020800.

The previous prime is 2011205427571. The next prime is 2011205427643. The reversal of 2011205427600 is 67245021102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 28009344 + ... + 28081056.

Almost surely, 2^{2011205427600} is an apocalyptic number.

2011205427600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011205427600 is an abundant number, since it is smaller than the sum of its proper divisors (4431721465552).

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

2011205427600 is a wasteful number, since it uses less digits than its factorization.

2011205427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95105 (or 95094 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 2011205427600 in words is "two trillion, eleven billion, two hundred five million, four hundred twenty-seven thousand, six hundred".