212820773760 has 1280 divisors, whose sum is σ = 929003074560. Its totient is φ = 45371031552.

The previous prime is 212820773687. The next prime is 212820773791. The reversal of 212820773760 is 67377028212.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 358888024 + ... + 358888616.

It is an arithmetic number, because the mean of its divisors is an integer number (725783652).

Almost surely, 2^212820773760 is an apocalyptic number.

212820773760 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 212820773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464501537280).

212820773760 is an abundant number, since it is smaller than the sum of its proper divisors (716182300800).

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

212820773760 is a wasteful number, since it uses less digits than its factorization.

212820773760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 212820773760 in words is "two hundred twelve billion, eight hundred twenty million, seven hundred seventy-three thousand, seven hundred sixty".