212883718320 has 1920 divisors, whose sum is σ = 992936448000. Its totient is φ = 41577338880.

The previous prime is 212883718319. The next prime is 212883718337. The reversal of 212883718320 is 23817388212.

212883718320 is a `hidden beast` number, since 2 + 1 + 288 + 37 + 18 + 320 = 666.

It is a super-3 number, since 3×212883718320³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6867216705 + ... + 6867216735.

It is an arithmetic number, because the mean of its divisors is an integer number (517154400).

Almost surely, 2^212883718320 is an apocalyptic number.

212883718320 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 212883718320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496468224000).

212883718320 is an abundant number, since it is smaller than the sum of its proper divisors (780052729680).

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

212883718320 is a wasteful number, since it uses less digits than its factorization.

212883718320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 212883718320 in words is "two hundred twelve billion, eight hundred eighty-three million, seven hundred eighteen thousand, three hundred twenty".