211020248800 has 72 divisors (see below), whose sum is σ = 531771089472. Its totient is φ = 81685248000.

The previous prime is 211020248749. The next prime is 211020248809. The reversal of 211020248800 is 8842020112.

211020248800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211020248800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020248809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4229641 + ... + 4279240.

It is an arithmetic number, because the mean of its divisors is an integer number (7385709576).

Almost surely, 2^211020248800 is an apocalyptic number.

211020248800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211020248800 is an abundant number, since it is smaller than the sum of its proper divisors (320750840672).

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

211020248800 is a wasteful number, since it uses less digits than its factorization.

211020248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8508932 (or 8508919 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

Adding to 211020248800 its reverse (8842020112), we get a palindrome (219862268912).

The spelling of 211020248800 in words is "two hundred eleven billion, twenty million, two hundred forty-eight thousand, eight hundred".