2010090700800 has 1944 divisors, whose sum is σ = 9104790521736. Its totient is φ = 420143431680.

The previous prime is 2010090700777. The next prime is 2010090700817. The reversal of 2010090700800 is 80070900102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18785894347 + ... + 18785894453.

It is an arithmetic number, because the mean of its divisors is an integer number (4683534219).

Almost surely, 2^{2010090700800} is an apocalyptic number.

2010090700800 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 2010090700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552395260868).

2010090700800 is an abundant number, since it is smaller than the sum of its proper divisors (7094699820936).

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

2010090700800 is a wasteful number, since it uses less digits than its factorization.

2010090700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 2010090700800 in words is "two trillion, ten billion, ninety million, seven hundred thousand, eight hundred".