211649182080 has 256 divisors, whose sum is σ = 772681628160. Its totient is φ = 48271933440.

The previous prime is 211649182061. The next prime is 211649182081. The reversal of 211649182080 is 80281946112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211649182081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6259620 + ... + 6293340.

It is an arithmetic number, because the mean of its divisors is an integer number (3018287610).

Almost surely, 2^211649182080 is an apocalyptic number.

211649182080 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 211649182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386340814080).

211649182080 is an abundant number, since it is smaller than the sum of its proper divisors (561032446080).

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

211649182080 is a wasteful number, since it uses less digits than its factorization.

211649182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34217 (or 34205 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 211649182080 in words is "two hundred eleven billion, six hundred forty-nine million, one hundred eighty-two thousand, eighty".