212689774080 has 960 divisors, whose sum is σ = 887258211840. Its totient is φ = 47889211392.

The previous prime is 212689774057. The next prime is 212689774097. The reversal of 212689774080 is 80477986212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3174474207 + ... + 3174474273.

It is an arithmetic number, because the mean of its divisors is an integer number (924227304).

Almost surely, 2^212689774080 is an apocalyptic number.

212689774080 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 212689774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443629105920).

212689774080 is an abundant number, since it is smaller than the sum of its proper divisors (674568437760).

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

212689774080 is an frugal number, since it uses more digits than its factorization.

212689774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 212689774080 in words is "two hundred twelve billion, six hundred eighty-nine million, seven hundred seventy-four thousand, eighty".