200896529071680 has 896 divisors, whose sum is σ = 771438426071040. Its totient is φ = 48920938536960.

The previous prime is 200896529071657. The next prime is 200896529071681. The reversal of 200896529071680 is 86170925698002.

200896529071680 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 96 + 529 + 0 + 7 + 16 + 8 + 0 = 666.

200896529071680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (200896529071681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11927589339 + ... + 11927606181.

It is an arithmetic number, because the mean of its divisors is an integer number (860980386240).

Almost surely, 2^{200896529071680} is an apocalyptic number.

200896529071680 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 200896529071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385719213035520).

200896529071680 is an abundant number, since it is smaller than the sum of its proper divisors (570541896999360).

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

200896529071680 is a wasteful number, since it uses less digits than its factorization.

200896529071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18016 (or 18000 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 200896529071680 in words is "two hundred trillion, eight hundred ninety-six billion, five hundred twenty-nine million, seventy-one thousand, six hundred eighty".