211824980796 has 288 divisors, whose sum is σ = 626526653760. Its totient is φ = 55132323840.

The previous prime is 211824980777. The next prime is 211824980821. The reversal of 211824980796 is 697089428112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28555680 + ... + 28563096.

It is an arithmetic number, because the mean of its divisors is an integer number (2175439770).

Almost surely, 2^211824980796 is an apocalyptic number.

211824980796 is a gapful number since it is divisible by the number (26) 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 211824980796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313263326880).

211824980796 is an abundant number, since it is smaller than the sum of its proper divisors (414701672964).

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

211824980796 is a wasteful number, since it uses less digits than its factorization.

211824980796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7565 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 211824980796 in words is "two hundred eleven billion, eight hundred twenty-four million, nine hundred eighty thousand, seven hundred ninety-six".