200016133920 has 192 divisors, whose sum is σ = 709647402240. Its totient is φ = 52606900224.

The previous prime is 200016133873. The next prime is 200016133949. The reversal of 200016133920 is 29331610002.

200016133920 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 613 + 3 + 9 + 20 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1764 + ... + 632483.

It is an arithmetic number, because the mean of its divisors is an integer number (3696080220).

Almost surely, 2^200016133920 is an apocalyptic number.

200016133920 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 200016133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354823701120).

200016133920 is an abundant number, since it is smaller than the sum of its proper divisors (509631268320).

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

200016133920 is a wasteful number, since it uses less digits than its factorization.

200016133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634344 (or 634330 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 200016133920 its reverse (29331610002), we get a palindrome (229347743922).

The spelling of 200016133920 in words is "two hundred billion, sixteen million, one hundred thirty-three thousand, nine hundred twenty".