212917774668480 has 1680 divisors, whose sum is σ = 886496317549920. Its totient is φ = 48366634401792.

The previous prime is 212917774668461. The next prime is 212917774668481. The reversal of 212917774668480 is 84866477719212.

212917774668480 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 1 + 7 + 7 + 7 + 466 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 212917774668399 and 212917774668408.

It is not an unprimeable number, because it can be changed into a prime (212917774668481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 270543550647 + ... + 270543551433.

It is an arithmetic number, because the mean of its divisors is an integer number (527676379494).

Almost surely, 2^{212917774668480} is an apocalyptic number.

212917774668480 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 212917774668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443248158774960).

212917774668480 is an abundant number, since it is smaller than the sum of its proper divisors (673578542881440).

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

212917774668480 is a wasteful number, since it uses less digits than its factorization.

212917774668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 212917774668480 in words is "two hundred twelve trillion, nine hundred seventeen billion, seven hundred seventy-four million, six hundred sixty-eight thousand, four hundred eighty".