212957610624 has 1536 divisors, whose sum is σ = 808380518400. Its totient is φ = 54942105600.

The previous prime is 212957610617. The next prime is 212957610683. The reversal of 212957610624 is 426016759212.

212957610624 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 5 + 7 + 6 + 10 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 212957610624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4531012969 + ... + 4531013015.

It is an arithmetic number, because the mean of its divisors is an integer number (526289400).

Almost surely, 2^212957610624 is an apocalyptic number.

212957610624 is a gapful number since it is divisible by the number (24) 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 212957610624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404190259200).

212957610624 is an abundant number, since it is smaller than the sum of its proper divisors (595422907776).

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

212957610624 is a wasteful number, since it uses less digits than its factorization.

212957610624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 212957610624 in words is "two hundred twelve billion, nine hundred fifty-seven million, six hundred ten thousand, six hundred twenty-four".