213866281896960 has 2816 divisors, whose sum is σ = 958627416637440. Its totient is φ = 39329735639040.

The previous prime is 213866281896947. The next prime is 213866281896973. The reversal of 213866281896960 is 69698182668312.

It is an interprime number because it is at equal distance from previous prime (213866281896947) and next prime (213866281896973).

It is a tau number, because it is divible by the number of its divisors (2816).

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 255 ways as a sum of consecutive naturals, for example, 22224486709 + ... + 22224496331.

It is an arithmetic number, because the mean of its divisors is an integer number (340421667840).

Almost surely, 2^{213866281896960} is an apocalyptic number.

213866281896960 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 213866281896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479313708318720).

213866281896960 is an abundant number, since it is smaller than the sum of its proper divisors (744761134740480).

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

213866281896960 is a wasteful number, since it uses less digits than its factorization.

213866281896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 9736 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 75.

The spelling of 213866281896960 in words is "two hundred thirteen trillion, eight hundred sixty-six billion, two hundred eighty-one million, eight hundred ninety-six thousand, nine hundred sixty".