212597450880 has 512 divisors, whose sum is σ = 734682009600. Its totient is φ = 52115374080.

The previous prime is 212597450833. The next prime is 212597450909. The reversal of 212597450880 is 88054795212.

212597450880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212597450880² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 459173529 + ... + 459173991.

It is an arithmetic number, because the mean of its divisors is an integer number (1434925800).

Almost surely, 2^212597450880 is an apocalyptic number.

212597450880 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 212597450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367341004800).

212597450880 is an abundant number, since it is smaller than the sum of its proper divisors (522084558720).

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

212597450880 is a wasteful number, since it uses less digits than its factorization.

212597450880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 212597450880 in words is "two hundred twelve billion, five hundred ninety-seven million, four hundred fifty thousand, eight hundred eighty".