212005055808 has 1680 divisors, whose sum is σ = 863305766400. Its totient is φ = 50791587840.

The previous prime is 212005055803. The next prime is 212005055813. The reversal of 212005055808 is 808550500212.

212005055808 is a `hidden beast` number, since 2 + 1 + 20 + 0 + 50 + 5 + 580 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (212005055803) and next prime (212005055813).

It is a super-2 number, since 2×212005055808² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212005055803) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1945000458 + ... + 1945000566.

It is an arithmetic number, because the mean of its divisors is an integer number (513872480).

Almost surely, 2^212005055808 is an apocalyptic number.

212005055808 is a gapful number since it is divisible by the number (28) 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 212005055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431652883200).

212005055808 is an abundant number, since it is smaller than the sum of its proper divisors (651300710592).

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

212005055808 is a wasteful number, since it uses less digits than its factorization.

212005055808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 212005055808 in words is "two hundred twelve billion, five million, fifty-five thousand, eight hundred eight".