212916656801088 has 1120 divisors, whose sum is σ = 670259692118016. Its totient is φ = 66742341120000.

The previous prime is 212916656801077. The next prime is 212916656801089. The reversal of 212916656801088 is 880108656619212.

212916656801088 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 1 + 66 + 568 + 0 + 1 + 0 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212916656801089) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 270542130231 + ... + 270542131017.

Almost surely, 2^{212916656801088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212916656801088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335129846059008).

212916656801088 is an abundant number, since it is smaller than the sum of its proper divisors (457343035316928).

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

212916656801088 is a wasteful number, since it uses less digits than its factorization.

212916656801088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 212916656801088 in words is "two hundred twelve trillion, nine hundred sixteen billion, six hundred fifty-six million, eight hundred one thousand, eighty-eight".