200129045760 has 864 divisors, whose sum is σ = 836900265600. Its totient is φ = 45712429056.

The previous prime is 200129045737. The next prime is 200129045771. The reversal of 200129045760 is 67540921002.

200129045760 is a `hidden beast` number, since 20 + 0 + 129 + 0 + 457 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 137167911 + ... + 137169369.

Almost surely, 2^200129045760 is an apocalyptic number.

200129045760 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 200129045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418450132800).

200129045760 is an abundant number, since it is smaller than the sum of its proper divisors (636771219840).

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

200129045760 is an frugal number, since it uses more digits than its factorization.

200129045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 200129045760 its reverse (67540921002), we get a palindrome (267669966762).

The spelling of 200129045760 in words is "two hundred billion, one hundred twenty-nine million, forty-five thousand, seven hundred sixty".