200152506880 has 160 divisors (see below), whose sum is σ = 497766855168. Its totient is φ = 77104742400.

The previous prime is 200152506871. The next prime is 200152506887. The reversal of 200152506880 is 88605251002.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×200152506880² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200152506887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16738984 + ... + 16750936.

Almost surely, 2^200152506880 is an apocalyptic number.

200152506880 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 200152506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248883427584).

200152506880 is an abundant number, since it is smaller than the sum of its proper divisors (297614348288).

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

200152506880 is a wasteful number, since it uses less digits than its factorization.

200152506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12218 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

Adding to 200152506880 its reverse (88605251002), we get a palindrome (288757757882).

The spelling of 200152506880 in words is "two hundred billion, one hundred fifty-two million, five hundred six thousand, eight hundred eighty".