212288885766720 has 2016 divisors, whose sum is σ = 911815702237440. Its totient is φ = 44283337113600.

The previous prime is 212288885766667. The next prime is 212288885766731. The reversal of 212288885766720 is 27667588882212.

212288885766720 is a `hidden beast` number, since 2 + 1 + 2 + 28 + 8 + 8 + 8 + 576 + 6 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88712445844 + ... + 88712448236.

It is an arithmetic number, because the mean of its divisors is an integer number (452289534840).

Almost surely, 2^{212288885766720} is an apocalyptic number.

212288885766720 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 212288885766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455907851118720).

212288885766720 is an abundant number, since it is smaller than the sum of its proper divisors (699526816470720).

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

212288885766720 is a wasteful number, since it uses less digits than its factorization.

212288885766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 212288885766720 in words is "two hundred twelve trillion, two hundred eighty-eight billion, eight hundred eighty-five million, seven hundred sixty-six thousand, seven hundred twenty".