210105055344000 has 512 divisors, whose sum is σ = 699486346690560. Its totient is φ = 55788145459200.

The previous prime is 210105055343999. The next prime is 210105055344031. The reversal of 210105055344000 is 443550501012.

It is a super-2 number, since 2×210105055344000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11342918739 + ... + 11342937261.

It is an arithmetic number, because the mean of its divisors is an integer number (1366184270880).

Almost surely, 2^{210105055344000} is an apocalyptic number.

210105055344000 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 210105055344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349743173345280).

210105055344000 is an abundant number, since it is smaller than the sum of its proper divisors (489381291346560).

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

210105055344000 is a wasteful number, since it uses less digits than its factorization.

210105055344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19555 (or 19533 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 210105055344000 in words is "two hundred ten trillion, one hundred five billion, fifty-five million, three hundred forty-four thousand".