2085018789600 has 216 divisors, whose sum is σ = 7384692271320. Its totient is φ = 553555215360.

The previous prime is 2085018789599. The next prime is 2085018789611. The reversal of 2085018789600 is 69878105802.

2085018789600 is a `hidden beast` number, since 2 + 0 + 8 + 501 + 8 + 78 + 9 + 60 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 996546 + ... + 2272254.

It is an arithmetic number, because the mean of its divisors is an integer number (34188390145).

Almost surely, 2^{2085018789600} is an apocalyptic number.

2085018789600 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 2085018789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692346135660).

2085018789600 is an abundant number, since it is smaller than the sum of its proper divisors (5299673481720).

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

2085018789600 is a wasteful number, since it uses less digits than its factorization.

2085018789600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275962 (or 1275946 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 2085018789600 in words is "two trillion, eighty-five billion, eighteen million, seven hundred eighty-nine thousand, six hundred".