213705201600 has 252 divisors, whose sum is σ = 828610153800. Its totient is φ = 51807283200.

The previous prime is 213705201559. The next prime is 213705201623. The reversal of 213705201600 is 6102507312.

It is a happy number.

213705201600 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 0 + 52 + 0 + 1 + 600 = 666.

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 35 ways as a sum of consecutive naturals, for example, 516175 + ... + 832974.

Almost surely, 2^213705201600 is an apocalyptic number.

213705201600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213705201600 is an abundant number, since it is smaller than the sum of its proper divisors (614904952200).

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

213705201600 is a wasteful number, since it uses less digits than its factorization.

213705201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349188 (or 1349170 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 213705201600 its reverse (6102507312), we get a palindrome (219807708912).

The spelling of 213705201600 in words is "two hundred thirteen billion, seven hundred five million, two hundred one thousand, six hundred".