213868055937600 has 840 divisors, whose sum is σ = 832772393034560. Its totient is φ = 53685588602880.

The previous prime is 213868055937539. The next prime is 213868055937607. The reversal of 213868055937600 is 6739550868312.

213868055937600 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 6 + 8 + 0 + 559 + 3 + 76 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (213868055937607) 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 119 ways as a sum of consecutive naturals, for example, 386320197 + ... + 386873403.

Almost surely, 2^{213868055937600} is an apocalyptic number.

213868055937600 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 213868055937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416386196517280).

213868055937600 is an abundant number, since it is smaller than the sum of its proper divisors (618904337096960).

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

213868055937600 is a wasteful number, since it uses less digits than its factorization.

213868055937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553417 (or 553393 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 213868055937600 in words is "two hundred thirteen trillion, eight hundred sixty-eight billion, fifty-five million, nine hundred thirty-seven thousand, six hundred".