212795776800 has 216 divisors, whose sum is σ = 753653677140. Its totient is φ = 56497305600.

The previous prime is 212795776799. The next prime is 212795776811. The reversal of 212795776800 is 8677597212.

It is a happy number.

212795776800 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 9 + 577 + 68 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 163549065744 + 49246711056 = 404412^2 + 221916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1584270 + ... + 1713330.

Almost surely, 2^212795776800 is an apocalyptic number.

212795776800 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 212795776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376826838570).

212795776800 is an abundant number, since it is smaller than the sum of its proper divisors (540857900340).

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

212795776800 is a wasteful number, since it uses less digits than its factorization.

212795776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129316 (or 129300 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 212795776800 in words is "two hundred twelve billion, seven hundred ninety-five million, seven hundred seventy-six thousand, eight hundred".