2006785108000 has 48 divisors (see below), whose sum is σ = 4930671020184. Its totient is φ = 802714041600.

The previous prime is 2006785107869. The next prime is 2006785108019. The reversal of 2006785108000 is 8015876002.

It can be written as a sum of positive squares in 4 ways, for example, as 1267164467856 + 739620640144 = 1125684^2 + 860012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250844139 + ... + 250852138.

Almost surely, 2^{2006785108000} is an apocalyptic number.

2006785108000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006785108000 is an abundant number, since it is smaller than the sum of its proper divisors (2923885912184).

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

2006785108000 is an equidigital number, since it uses as much as digits as its factorization.

2006785108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501696302 (or 501696284 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 2006785108000 in words is "two trillion, six billion, seven hundred eighty-five million, one hundred eight thousand".