212827648000 has 832 divisors, whose sum is σ = 635913068544. Its totient is φ = 70287360000.

The previous prime is 212827647971. The next prime is 212827648013. The reversal of 212827648000 is 846728212.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4015615974 + ... + 4015616026.

It is an arithmetic number, because the mean of its divisors is an integer number (764318592).

Almost surely, 2^212827648000 is an apocalyptic number.

212827648000 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 212827648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317956534272).

212827648000 is an abundant number, since it is smaller than the sum of its proper divisors (423085420544).

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

212827648000 is a wasteful number, since it uses less digits than its factorization.

212827648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 212827648000 in words is "two hundred twelve billion, eight hundred twenty-seven million, six hundred forty-eight thousand".