213040509696 has 864 divisors, whose sum is σ = 784164084480. Its totient is φ = 56685920256.

The previous prime is 213040509673. The next prime is 213040509697. The reversal of 213040509696 is 696905040312.

213040509696 is a `hidden beast` number, since 2 + 13 + 0 + 40 + 509 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (213040509697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 938504335 + ... + 938504561.

It is an arithmetic number, because the mean of its divisors is an integer number (907597320).

Almost surely, 2^213040509696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213040509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392082042240).

213040509696 is an abundant number, since it is smaller than the sum of its proper divisors (571123574784).

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

213040509696 is a wasteful number, since it uses less digits than its factorization.

213040509696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 213040509696 in words is "two hundred thirteen billion, forty million, five hundred nine thousand, six hundred ninety-six".