212058135415808 has 176 divisors, whose sum is σ = 486528994028448. Its totient is φ = 91497480192000.

The previous prime is 212058135415807. The next prime is 212058135415891. The reversal of 212058135415808 is 808514531850212.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 212058135415808.

It is not an unprimeable number, because it can be changed into a prime (212058135415807) 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 15 ways as a sum of consecutive naturals, for example, 10882418 + ... + 23292558.

Almost surely, 2^{212058135415808} 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 212058135415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243264497014224).

212058135415808 is an abundant number, since it is smaller than the sum of its proper divisors (274470858612640).

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

212058135415808 is a wasteful number, since it uses less digits than its factorization.

212058135415808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12410250 (or 12410232 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 53.

The spelling of 212058135415808 in words is "two hundred twelve trillion, fifty-eight billion, one hundred thirty-five million, four hundred fifteen thousand, eight hundred eight".