212594766400 has 63 divisors (see below), whose sum is σ = 523161382809. Its totient is φ = 85030529280.

The previous prime is 212594766379. The next prime is 212594766407. The reversal of 212594766400 is 4667495212.

The square root of 212594766400 is 461080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76534115904 + 136060650496 = 276648^2 + 368864^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212594766407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18437437 + ... + 18448963.

Almost surely, 2^212594766400 is an apocalyptic number.

212594766400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212594766400 is the 461080-th square number.

It is an amenable number.

212594766400 is an abundant number, since it is smaller than the sum of its proper divisors (310566616409).

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

212594766400 is an frugal number, since it uses more digits than its factorization.

212594766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23076 (or 11534 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 212594766400 in words is "two hundred twelve billion, five hundred ninety-four million, seven hundred sixty-six thousand, four hundred".