213986204766720 has 1600 divisors, whose sum is σ = 796338620352000. Its totient is φ = 54887163494400.

The previous prime is 213986204766709. The next prime is 213986204766773. The reversal of 213986204766720 is 27667402689312.

213986204766720 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 86 + 2 + 0 + 476 + 67 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146666349351 + ... + 146666350809.

It is an arithmetic number, because the mean of its divisors is an integer number (497711637720).

Almost surely, 2^{213986204766720} is an apocalyptic number.

213986204766720 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 213986204766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398169310176000).

213986204766720 is an abundant number, since it is smaller than the sum of its proper divisors (582352415585280).

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

213986204766720 is a wasteful number, since it uses less digits than its factorization.

213986204766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 213986204766720 in words is "two hundred thirteen trillion, nine hundred eighty-six billion, two hundred four million, seven hundred sixty-six thousand, seven hundred twenty".