19810238660608 has 544 divisors, whose sum is σ = 48004701321600. Its totient is φ = 8072567193600.

The previous prime is 19810238660603. The next prime is 19810238660633. The reversal of 19810238660608 is 80606683201891.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19810238660603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21052325418 + ... + 21052326358.

Almost surely, 2^{19810238660608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19810238660608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24002350660800).

19810238660608 is an abundant number, since it is smaller than the sum of its proper divisors (28194462660992).

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

19810238660608 is an equidigital number, since it uses as much as digits as its factorization.

19810238660608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 19810238660608 in words is "nineteen trillion, eight hundred ten billion, two hundred thirty-eight million, six hundred sixty thousand, six hundred eight".