211245376400 has 60 divisors (see below), whose sum is σ = 509118322452. Its totient is φ = 84231544320.

The previous prime is 211245376399. The next prime is 211245376427. The reversal of 211245376400 is 4673542112.

It can be written as a sum of positive squares in 6 ways, for example, as 2041593856 + 209203782544 = 45184^2 + 457388^2 .

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 11 ways as a sum of consecutive naturals, for example, 706187 + ... + 959786.

Almost surely, 2^211245376400 is an apocalyptic number.

211245376400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211245376400 is an abundant number, since it is smaller than the sum of its proper divisors (297872946052).

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

211245376400 is a wasteful number, since it uses less digits than its factorization.

211245376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666308 (or 1666297 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 211245376400 in words is "two hundred eleven billion, two hundred forty-five million, three hundred seventy-six thousand, four hundred".