212799577441968 has 1280 divisors, whose sum is σ = 716688414720000. Its totient is φ = 59840711884800.

The previous prime is 212799577441967. The next prime is 212799577441981. The reversal of 212799577441968 is 869144775997212.

212799577441968 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 99 + 57 + 7 + 4 + 419 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (212799577441967) 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 255 ways as a sum of consecutive naturals, for example, 217809188296 + ... + 217809189272.

It is an arithmetic number, because the mean of its divisors is an integer number (559912824000).

Almost surely, 2^{212799577441968} 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 212799577441968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358344207360000).

212799577441968 is an abundant number, since it is smaller than the sum of its proper divisors (503888837278032).

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

212799577441968 is a wasteful number, since it uses less digits than its factorization.

212799577441968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1599 counting only the distinct ones).

The product of its digits is 3840721920, while the sum is 81.

The spelling of 212799577441968 in words is "two hundred twelve trillion, seven hundred ninety-nine billion, five hundred seventy-seven million, four hundred forty-one thousand, nine hundred sixty-eight".