212015330163792 has 320 divisors, whose sum is σ = 663129918873600. Its totient is φ = 64608885411840.

The previous prime is 212015330163781. The next prime is 212015330163827. The reversal of 212015330163792 is 297361033510212.

212015330163792 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 1 + 5 + 3 + 3 + 0 + 1 + 637 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88639923 + ... + 91000365.

It is an arithmetic number, because the mean of its divisors is an integer number (2072280996480).

Almost surely, 2^{212015330163792} 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 212015330163792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331564959436800).

212015330163792 is an abundant number, since it is smaller than the sum of its proper divisors (451114588709808).

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

212015330163792 is a wasteful number, since it uses less digits than its factorization.

212015330163792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360863 (or 2360851 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 212015330163792 in words is "two hundred twelve trillion, fifteen billion, three hundred thirty million, one hundred sixty-three thousand, seven hundred ninety-two".