213686221562800 has 540 divisors, whose sum is σ = 611996641620240. Its totient is φ = 71700058805760.

The previous prime is 213686221562791. The next prime is 213686221562861. The reversal of 213686221562800 is 8265122686312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14850658006 + ... + 14850672394.

Almost surely, 2^{213686221562800} is an apocalyptic number.

213686221562800 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 213686221562800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305998320810120).

213686221562800 is an abundant number, since it is smaller than the sum of its proper divisors (398310420057440).

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

213686221562800 is an frugal number, since it uses more digits than its factorization.

213686221562800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14536 (or 14450 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 213686221562800 in words is "two hundred thirteen trillion, six hundred eighty-six billion, two hundred twenty-one million, five hundred sixty-two thousand, eight hundred".