212727805920 has 576 divisors, whose sum is σ = 889143091200. Its totient is φ = 45250596864.

The previous prime is 212727805903. The next prime is 212727805921. The reversal of 212727805920 is 29508727212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212727805921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8565681 + ... + 8590479.

It is an arithmetic number, because the mean of its divisors is an integer number (1543651200).

Almost surely, 2^212727805920 is an apocalyptic number.

212727805920 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 212727805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444571545600).

212727805920 is an abundant number, since it is smaller than the sum of its proper divisors (676415285280).

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

212727805920 is a wasteful number, since it uses less digits than its factorization.

212727805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24887 (or 24876 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 212727805920 in words is "two hundred twelve billion, seven hundred twenty-seven million, eight hundred five thousand, nine hundred twenty".