211040080680 has 384 divisors, whose sum is σ = 756840309120. Its totient is φ = 46412175360.

The previous prime is 211040080651. The next prime is 211040080697. The reversal of 211040080680 is 86080040112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59732194 + ... + 59735726.

It is an arithmetic number, because the mean of its divisors is an integer number (1970938305).

Almost surely, 2^211040080680 is an apocalyptic number.

211040080680 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 211040080680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378420154560).

211040080680 is an abundant number, since it is smaller than the sum of its proper divisors (545800228440).

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

211040080680 is a wasteful number, since it uses less digits than its factorization.

211040080680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 211040080680 in words is "two hundred eleven billion, forty million, eighty thousand, six hundred eighty".