210538378561680 has 2880 divisors, whose sum is σ = 863624099520000. Its totient is φ = 45582120714240.

The previous prime is 210538378561673. The next prime is 210538378561739. The reversal of 210538378561680 is 86165873835012.

210538378561680 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 3 + 8 + 3 + 7 + 8 + 5 + 616 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 421920598071 + ... + 421920598569.

It is an arithmetic number, because the mean of its divisors is an integer number (299869479000).

Almost surely, 2^{210538378561680} is an apocalyptic number.

210538378561680 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 210538378561680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431812049760000).

210538378561680 is an abundant number, since it is smaller than the sum of its proper divisors (653085720958320).

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

210538378561680 is a wasteful number, since it uses less digits than its factorization.

210538378561680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 210538378561680 in words is "two hundred ten trillion, five hundred thirty-eight billion, three hundred seventy-eight million, five hundred sixty-one thousand, six hundred eighty".