212865964312320 has 576 divisors, whose sum is σ = 836348644615680. Its totient is φ = 50833657036800.

The previous prime is 212865964312307. The next prime is 212865964312327. The reversal of 212865964312320 is 23213469568212.

212865964312320 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 6 + 596 + 4 + 3 + 1 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×212865964312320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212865964312327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21292080 + ... + 29649360.

It is an arithmetic number, because the mean of its divisors is an integer number (1451994174680).

Almost surely, 2^{212865964312320} is an apocalyptic number.

212865964312320 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 212865964312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418174322307840).

212865964312320 is an abundant number, since it is smaller than the sum of its proper divisors (623482680303360).

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

212865964312320 is a wasteful number, since it uses less digits than its factorization.

212865964312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357389 (or 8357369 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 212865964312320 in words is "two hundred twelve trillion, eight hundred sixty-five billion, nine hundred sixty-four million, three hundred twelve thousand, three hundred twenty".