212054356800 has 2016 divisors, whose sum is σ = 947200625280. Its totient is φ = 44281036800.

The previous prime is 212054356763. The next prime is 212054356841. The reversal of 212054356800 is 8653450212.

212054356800 is a `hidden beast` number, since 21 + 20 + 54 + 3 + 568 + 0 + 0 = 666.

212054356800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3164990367 + ... + 3164990433.

It is an arithmetic number, because the mean of its divisors is an integer number (469841580).

Almost surely, 2^212054356800 is an apocalyptic number.

212054356800 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 212054356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473600312640).

212054356800 is an abundant number, since it is smaller than the sum of its proper divisors (735146268480).

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

212054356800 is a wasteful number, since it uses less digits than its factorization.

212054356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 212054356800 in words is "two hundred twelve billion, fifty-four million, three hundred fifty-six thousand, eight hundred".