210225375000 has 448 divisors, whose sum is σ = 739912404000. Its totient is φ = 55987200000.

The previous prime is 210225374963. The next prime is 210225375013. The reversal of 210225375000 is 573522012.

210225375000 is a `hidden beast` number, since 2 + 102 + 2 + 53 + 7 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 273374616 + ... + 273375384.

Almost surely, 2^210225375000 is an apocalyptic number.

210225375000 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 210225375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369956202000).

210225375000 is an abundant number, since it is smaller than the sum of its proper divisors (529687029000).

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

210225375000 is an frugal number, since it uses more digits than its factorization.

210225375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 210225375000 its reverse (573522012), we get a palindrome (210798897012).

It can be divided in two parts, 210225 and 375000, that added together give a square (585225 = 765²).

The spelling of 210225375000 in words is "two hundred ten billion, two hundred twenty-five million, three hundred seventy-five thousand".