212985446400 has 684 divisors, whose sum is σ = 801202810512. Its totient is φ = 53980692480.

The previous prime is 212985446371. The next prime is 212985446413. The reversal of 212985446400 is 4644589212.

It is a happy number.

212985446400 is a `hidden beast` number, since 2 + 12 + 98 + 544 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1356595122 + ... + 1356595278.

Almost surely, 2^212985446400 is an apocalyptic number.

212985446400 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 212985446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400601405256).

212985446400 is an abundant number, since it is smaller than the sum of its proper divisors (588217364112).

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

212985446400 is an equidigital number, since it uses as much as digits as its factorization.

212985446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 212985446400 in words is "two hundred twelve billion, nine hundred eighty-five million, four hundred forty-six thousand, four hundred".