210506408120160 has 384 divisors, whose sum is σ = 741014713152000. Its totient is φ = 55812749137920.

The previous prime is 210506408120159. The next prime is 210506408120167. The reversal of 210506408120160 is 61021804605012.

It is a happy number.

210506408120160 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 0 + 640 + 8 + 1 + 2 + 0 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210506408120167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 522963775 + ... + 523366145.

It is an arithmetic number, because the mean of its divisors is an integer number (1929725815500).

Almost surely, 2^{210506408120160} is an apocalyptic number.

210506408120160 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 210506408120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370507356576000).

210506408120160 is an abundant number, since it is smaller than the sum of its proper divisors (530508305031840).

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

210506408120160 is a wasteful number, since it uses less digits than its factorization.

210506408120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403091 (or 403077 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 210506408120160 in words is "two hundred ten trillion, five hundred six billion, four hundred eight million, one hundred twenty thousand, one hundred sixty".