211866743160072 has 512 divisors, whose sum is σ = 790775529062400. Its totient is φ = 50758872652800.

The previous prime is 211866743160043. The next prime is 211866743160103. The reversal of 211866743160072 is 270061347668112.

211866743160072 is a `hidden beast` number, since 2 + 1 + 1 + 86 + 6 + 7 + 431 + 60 + 0 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 286549422 + ... + 287287842.

It is an arithmetic number, because the mean of its divisors is an integer number (1544483455200).

Almost surely, 2^{211866743160072} is an apocalyptic number.

211866743160072 is a gapful number since it is divisible by the number (22) 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 211866743160072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395387764531200).

211866743160072 is an abundant number, since it is smaller than the sum of its proper divisors (578908785902328).

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

211866743160072 is a wasteful number, since it uses less digits than its factorization.

211866743160072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739794 (or 739784 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 211866743160072 in words is "two hundred eleven trillion, eight hundred sixty-six billion, seven hundred forty-three million, one hundred sixty thousand, seventy-two".