2000785768800 has 2304 divisors, whose sum is σ = 8758959390720. Its totient is φ = 385245020160.

The previous prime is 2000785768771. The next prime is 2000785768829. The reversal of 2000785768800 is 88675870002.

It is an interprime number because it is at equal distance from previous prime (2000785768771) and next prime (2000785768829).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12743858322 + ... + 12743858478.

It is an arithmetic number, because the mean of its divisors is an integer number (3801631680).

Almost surely, 2^{2000785768800} is an apocalyptic number.

2000785768800 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 2000785768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379479695360).

2000785768800 is an abundant number, since it is smaller than the sum of its proper divisors (6758173621920).

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

2000785768800 is a wasteful number, since it uses less digits than its factorization.

2000785768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 2000785768800 in words is "two trillion, seven hundred eighty-five million, seven hundred sixty-eight thousand, eight hundred".