200089794960 has 720 divisors, whose sum is σ = 790660465920. Its totient is φ = 44945694720.

The previous prime is 200089794959. The next prime is 200089795033. The reversal of 200089794960 is 69497980002.

200089794960 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 89 + 79 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 200089794897 and 200089794906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134377896 + ... + 134379384.

It is an arithmetic number, because the mean of its divisors is an integer number (1098139536).

Almost surely, 2^200089794960 is an apocalyptic number.

200089794960 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 200089794960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395330232960).

200089794960 is an abundant number, since it is smaller than the sum of its proper divisors (590570670960).

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

200089794960 is a wasteful number, since it uses less digits than its factorization.

200089794960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 200089794960 in words is "two hundred billion, eighty-nine million, seven hundred ninety-four thousand, nine hundred sixty".