213234362880 has 640 divisors, whose sum is σ = 857681104896. Its totient is φ = 43902566400.

The previous prime is 213234362863. The next prime is 213234362881. The reversal of 213234362880 is 88263432312.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (213234362881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66822085 + ... + 66825275.

Almost surely, 2^213234362880 is an apocalyptic number.

213234362880 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 213234362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428840552448).

213234362880 is an abundant number, since it is smaller than the sum of its proper divisors (644446742016).

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

213234362880 is a wasteful number, since it uses less digits than its factorization.

213234362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 213234362880 in words is "two hundred thirteen billion, two hundred thirty-four million, three hundred sixty-two thousand, eight hundred eighty".