212381517680640 has 3120 divisors, whose sum is σ = 970835564761920. Its totient is φ = 43917374914560.

The previous prime is 212381517680599. The next prime is 212381517680671. The reversal of 212381517680640 is 46086715183212.

It is a happy number.

212381517680640 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 8 + 1 + 517 + 6 + 80 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 240522669639 + ... + 240522670521.

It is an arithmetic number, because the mean of its divisors is an integer number (311165245116).

Almost surely, 2^{212381517680640} is an apocalyptic number.

212381517680640 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 212381517680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485417782380960).

212381517680640 is an abundant number, since it is smaller than the sum of its proper divisors (758454047081280).

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

212381517680640 is a wasteful number, since it uses less digits than its factorization.

212381517680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 212381517680640 in words is "two hundred twelve trillion, three hundred eighty-one billion, five hundred seventeen million, six hundred eighty thousand, six hundred forty".