211513030400 has 216 divisors, whose sum is σ = 612915916704. Its totient is φ = 70749388800.

The previous prime is 211513030381. The next prime is 211513030409. The reversal of 211513030400 is 4030315112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211513030409) 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 23 ways as a sum of consecutive naturals, for example, 1779224 + ... + 1894376.

Almost surely, 2^211513030400 is an apocalyptic number.

211513030400 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 211513030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306457958352).

211513030400 is an abundant number, since it is smaller than the sum of its proper divisors (401402886304).

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

211513030400 is a wasteful number, since it uses less digits than its factorization.

211513030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115227 (or 115208 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 211513030400 its reverse (4030315112), we get a palindrome (215543345512).

The spelling of 211513030400 in words is "two hundred eleven billion, five hundred thirteen million, thirty thousand, four hundred".