211103396400 has 480 divisors, whose sum is σ = 750468855808. Its totient is φ = 50388480000.

The previous prime is 211103396377. The next prime is 211103396401. The reversal of 211103396400 is 4693301112.

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

It is not an unprimeable number, because it can be changed into a prime (211103396401) 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 95 ways as a sum of consecutive naturals, for example, 281096025 + ... + 281096775.

Almost surely, 2^211103396400 is an apocalyptic number.

211103396400 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 211103396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375234427904).

211103396400 is an abundant number, since it is smaller than the sum of its proper divisors (539365459408).

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

211103396400 is a wasteful number, since it uses less digits than its factorization.

211103396400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

Adding to 211103396400 its reverse (4693301112), we get a palindrome (215796697512).

The spelling of 211103396400 in words is "two hundred eleven billion, one hundred three million, three hundred ninety-six thousand, four hundred".