210138560628480 has 864 divisors, whose sum is σ = 854336998674432. Its totient is φ = 47155897958400.

The previous prime is 210138560628463. The next prime is 210138560628487. The reversal of 210138560628480 is 84826065831012.

210138560628480 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 3 + 8 + 5 + 6 + 0 + 628 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×210138560628480² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210138560628487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89188464 + ... + 91514256.

It is an arithmetic number, because the mean of its divisors is an integer number (988815970688).

Almost surely, 2^{210138560628480} is an apocalyptic number.

210138560628480 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 210138560628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427168499337216).

210138560628480 is an abundant number, since it is smaller than the sum of its proper divisors (644198438045952).

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

210138560628480 is a wasteful number, since it uses less digits than its factorization.

210138560628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325885 (or 2325868 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 210138560628480 in words is "two hundred ten trillion, one hundred thirty-eight billion, five hundred sixty million, six hundred twenty-eight thousand, four hundred eighty".