212464425600 has 768 divisors, whose sum is σ = 899819193600. Its totient is φ = 48552099840.

The previous prime is 212464425499. The next prime is 212464425643. The reversal of 212464425600 is 6524464212.

212464425600 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 6 + 4 + 42 + 5 + 600 = 666.

It is a super-2 number, since 2×212464425600² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48986632 + ... + 48990968.

It is an arithmetic number, because the mean of its divisors is an integer number (1171639575).

Almost surely, 2^212464425600 is an apocalyptic number.

212464425600 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 212464425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449909596800).

212464425600 is an abundant number, since it is smaller than the sum of its proper divisors (687354768000).

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

212464425600 is an frugal number, since it uses more digits than its factorization.

212464425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 212464425600 its reverse (6524464212), we get a palindrome (218988889812).

The spelling of 212464425600 in words is "two hundred twelve billion, four hundred sixty-four million, four hundred twenty-five thousand, six hundred".