212587358016 has 224 divisors, whose sum is σ = 624704766336. Its totient is φ = 63258624000.

The previous prime is 212587357993. The next prime is 212587358017. The reversal of 212587358016 is 610853785212.

212587358016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212587358017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113500056 + ... + 113501928.

It is an arithmetic number, because the mean of its divisors is an integer number (2788860564).

Almost surely, 2^212587358016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212587358016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312352383168).

212587358016 is an abundant number, since it is smaller than the sum of its proper divisors (412117408320).

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

212587358016 is a wasteful number, since it uses less digits than its factorization.

212587358016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 212587358016 in words is "two hundred twelve billion, five hundred eighty-seven million, three hundred fifty-eight thousand, sixteen".