211287063680 has 384 divisors, whose sum is σ = 648094487040. Its totient is φ = 64446750720.

The previous prime is 211287063671. The next prime is 211287063703. The reversal of 211287063680 is 86360782112.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25473614 + ... + 25481906.

It is an arithmetic number, because the mean of its divisors is an integer number (1687746060).

Almost surely, 2^211287063680 is an apocalyptic number.

211287063680 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 211287063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324047243520).

211287063680 is an abundant number, since it is smaller than the sum of its proper divisors (436807423360).

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

211287063680 is a wasteful number, since it uses less digits than its factorization.

211287063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 211287063680 in words is "two hundred eleven billion, two hundred eighty-seven million, sixty-three thousand, six hundred eighty".