211923391680 has 2688 divisors, whose sum is σ = 1064028026880. Its totient is φ = 37265080320.

The previous prime is 211923391643. The next prime is 211923391697. The reversal of 211923391680 is 86193329112.

It is a happy number.

211923391680 is a `hidden beast` number, since 211 + 92 + 339 + 16 + 8 + 0 = 666.

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, 2903060124 + ... + 2903060196.

It is an arithmetic number, because the mean of its divisors is an integer number (395843760).

Almost surely, 2^211923391680 is an apocalyptic number.

211923391680 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 211923391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532014013440).

211923391680 is an abundant number, since it is smaller than the sum of its proper divisors (852104635200).

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

211923391680 is a wasteful number, since it uses less digits than its factorization.

211923391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 211923391680 in words is "two hundred eleven billion, nine hundred twenty-three million, three hundred ninety-one thousand, six hundred eighty".