211503050400 has 144 divisors (see below), whose sum is σ = 718374896064. Its totient is φ = 53948590080.

The previous prime is 211503050389. The next prime is 211503050411. The reversal of 211503050400 is 4050305112.

It is an interprime number because it is at equal distance from previous prime (211503050389) and next prime (211503050411).

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 23 ways as a sum of consecutive naturals, for example, 1860589 + ... + 1970988.

It is an arithmetic number, because the mean of its divisors is an integer number (4988714556).

Almost surely, 2^211503050400 is an apocalyptic number.

211503050400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211503050400 is an abundant number, since it is smaller than the sum of its proper divisors (506871845664).

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

211503050400 is a wasteful number, since it uses less digits than its factorization.

211503050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831623 (or 3831610 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 211503050400 its reverse (4050305112), we get a palindrome (215553355512).

The spelling of 211503050400 in words is "two hundred eleven billion, five hundred three million, fifty thousand, four hundred".