211398941244960 has 1152 divisors, whose sum is σ = 878191407636480. Its totient is φ = 47938793656320.

The previous prime is 211398941244923. The next prime is 211398941245021. The reversal of 211398941244960 is 69442149893112.

211398941244960 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 9 + 89 + 41 + 24 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2177503620 + ... + 2177600700.

It is an arithmetic number, because the mean of its divisors is an integer number (762318930240).

Almost surely, 2^{211398941244960} is an apocalyptic number.

211398941244960 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 211398941244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439095703818240).

211398941244960 is an abundant number, since it is smaller than the sum of its proper divisors (666792466391520).

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

211398941244960 is an equidigital number, since it uses as much as digits as its factorization.

211398941244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97258 (or 97225 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 211398941244960 in words is "two hundred eleven trillion, three hundred ninety-eight billion, nine hundred forty-one million, two hundred forty-four thousand, nine hundred sixty".