212860376064 has 704 divisors, whose sum is σ = 787808747520. Its totient is φ = 55366778880.

The previous prime is 212860376059. The next prime is 212860376093. The reversal of 212860376064 is 460673068212.

212860376064 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 6 + 0 + 37 + 606 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101992429 + ... + 101994515.

Almost surely, 2^212860376064 is an apocalyptic number.

212860376064 is a gapful number since it is divisible by the number (24) 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 212860376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393904373760).

212860376064 is an abundant number, since it is smaller than the sum of its proper divisors (574948371456).

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

212860376064 is a wasteful number, since it uses less digits than its factorization.

212860376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 212860376064 in words is "two hundred twelve billion, eight hundred sixty million, three hundred seventy-six thousand, sixty-four".