210538899481680 has 1920 divisors, whose sum is σ = 926664929648640. Its totient is φ = 43445805096960.

The previous prime is 210538899481667. The next prime is 210538899481681. The reversal of 210538899481680 is 86184998835012.

210538899481680 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 3 + 8 + 89 + 9 + 481 + 68 + 0 = 666.

210538899481680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 210538899481599 and 210538899481608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210538899481681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 136447762989 + ... + 136447764531.

It is an arithmetic number, because the mean of its divisors is an integer number (482637984192).

Almost surely, 2^{210538899481680} is an apocalyptic number.

210538899481680 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 210538899481680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463332464824320).

210538899481680 is an abundant number, since it is smaller than the sum of its proper divisors (716126030166960).

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

210538899481680 is a wasteful number, since it uses less digits than its factorization.

210538899481680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 210538899481680 in words is "two hundred ten trillion, five hundred thirty-eight billion, eight hundred ninety-nine million, four hundred eighty-one thousand, six hundred eighty".