213234567840 has 288 divisors, whose sum is σ = 832231895040. Its totient is φ = 48703168512.

The previous prime is 213234567839. The next prime is 213234567881. The reversal of 213234567840 is 48765432312.

213234567840 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 4 + 567 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 15002017 + ... + 15016223.

It is an arithmetic number, because the mean of its divisors is an integer number (2889694080).

Almost surely, 2^213234567840 is an apocalyptic number.

213234567840 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 213234567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416115947520).

213234567840 is an abundant number, since it is smaller than the sum of its proper divisors (618997327200).

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

213234567840 is a wasteful number, since it uses less digits than its factorization.

213234567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15724 (or 15713 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 213234567840 in words is "two hundred thirteen billion, two hundred thirty-four million, five hundred sixty-seven thousand, eight hundred forty".