200683008000 has 624 divisors, whose sum is σ = 750700038816. Its totient is φ = 53482291200.

The previous prime is 200683007953. The next prime is 200683008011. The reversal of 200683008000 is 800386002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124415194 + ... + 124416806.

It is an arithmetic number, because the mean of its divisors is an integer number (1203044934).

Almost surely, 2^200683008000 is an apocalyptic number.

200683008000 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 200683008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375350019408).

200683008000 is an abundant number, since it is smaller than the sum of its proper divisors (550017030816).

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

200683008000 is an frugal number, since it uses more digits than its factorization.

200683008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 200683008000 in words is "two hundred billion, six hundred eighty-three million, eight thousand".