213998580959328 has 768 divisors, whose sum is σ = 690003720806400. Its totient is φ = 63988404480000.

The previous prime is 213998580959311. The next prime is 213998580959393. The reversal of 213998580959328 is 823959085899312.

213998580959328 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 9 + 8 + 580 + 9 + 5 + 9 + 3 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305276149378 + ... + 305276150078.

It is an arithmetic number, because the mean of its divisors is an integer number (898442344800).

Almost surely, 2^{213998580959328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213998580959328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345001860403200).

213998580959328 is an abundant number, since it is smaller than the sum of its proper divisors (476005139847072).

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

213998580959328 is a wasteful number, since it uses less digits than its factorization.

213998580959328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 3023308800, while the sum is 81.

The spelling of 213998580959328 in words is "two hundred thirteen trillion, nine hundred ninety-eight billion, five hundred eighty million, nine hundred fifty-nine thousand, three hundred twenty-eight".