213460421760 has 384 divisors, whose sum is σ = 779242464000. Its totient is φ = 53694627840.

The previous prime is 213460421711. The next prime is 213460421773. The reversal of 213460421760 is 67124064312.

213460421760 is a `hidden beast` number, since 2 + 1 + 34 + 604 + 2 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 26152080 + ... + 26160240.

It is an arithmetic number, because the mean of its divisors is an integer number (2029277250).

Almost surely, 2^213460421760 is an apocalyptic number.

213460421760 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 213460421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389621232000).

213460421760 is an abundant number, since it is smaller than the sum of its proper divisors (565782042240).

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

213460421760 is a wasteful number, since it uses less digits than its factorization.

213460421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 213460421760 in words is "two hundred thirteen billion, four hundred sixty million, four hundred twenty-one thousand, seven hundred sixty".