213841416960 has 576 divisors, whose sum is σ = 810839756160. Its totient is φ = 53178531840.

The previous prime is 213841416949. The next prime is 213841416989. The reversal of 213841416960 is 69614148312.

213841416960 is a `hidden beast` number, since 2 + 13 + 8 + 414 + 169 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66388150 + ... + 66391370.

It is an arithmetic number, because the mean of its divisors is an integer number (1407707910).

Almost surely, 2^213841416960 is an apocalyptic number.

213841416960 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 213841416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405419878080).

213841416960 is an abundant number, since it is smaller than the sum of its proper divisors (596998339200).

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

213841416960 is a wasteful number, since it uses less digits than its factorization.

213841416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 213841416960 in words is "two hundred thirteen billion, eight hundred forty-one million, four hundred sixteen thousand, nine hundred sixty".