211115120205400 has 384 divisors, whose sum is σ = 530679294351360. Its totient is φ = 77914349568000.

The previous prime is 211115120205391. The next prime is 211115120205421. The reversal of 211115120205400 is 4502021511112.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5054086515 + ... + 5054128285.

It is an arithmetic number, because the mean of its divisors is an integer number (1381977329040).

Almost surely, 2^{211115120205400} is an apocalyptic number.

211115120205400 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 211115120205400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265339647175680).

211115120205400 is an abundant number, since it is smaller than the sum of its proper divisors (319564174145960).

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

211115120205400 is a wasteful number, since it uses less digits than its factorization.

211115120205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42195 (or 42186 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 211115120205400 its reverse (4502021511112), we get a palindrome (215617141716512).

The spelling of 211115120205400 in words is "two hundred eleven trillion, one hundred fifteen billion, one hundred twenty million, two hundred five thousand, four hundred".