200806751880 has 384 divisors, whose sum is σ = 752494579200. Its totient is φ = 45491798016.

The previous prime is 200806751863. The next prime is 200806751891. The reversal of 200806751880 is 88157608002.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283224966 + ... + 283225674.

It is an arithmetic number, because the mean of its divisors is an integer number (1959621300).

Almost surely, 2^200806751880 is an apocalyptic number.

200806751880 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 200806751880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376247289600).

200806751880 is an abundant number, since it is smaller than the sum of its proper divisors (551687827320).

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

200806751880 is a wasteful number, since it uses less digits than its factorization.

200806751880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 200806751880 in words is "two hundred billion, eight hundred six million, seven hundred fifty-one thousand, eight hundred eighty".