212782806720 has 336 divisors, whose sum is σ = 815412469248. Its totient is φ = 50485831680.

The previous prime is 212782806697. The next prime is 212782806721. The reversal of 212782806720 is 27608287212.

212782806720 is a `hidden beast` number, since 21 + 278 + 280 + 67 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212782806721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417507 + ... + 1560413.

Almost surely, 2^212782806720 is an apocalyptic number.

212782806720 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 212782806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407706234624).

212782806720 is an abundant number, since it is smaller than the sum of its proper divisors (602629662528).

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

212782806720 is a wasteful number, since it uses less digits than its factorization.

212782806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142988 (or 142975 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 212782806720 in words is "two hundred twelve billion, seven hundred eighty-two million, eight hundred six thousand, seven hundred twenty".