19981571353128 has 2304 divisors, whose sum is σ = 79764739891200. Its totient is φ = 4610329436160.

The previous prime is 19981571353123. The next prime is 19981571353241. The reversal of 19981571353128 is 82135317518991.

19981571353128 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 1 + 5 + 71 + 3 + 531 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (19981571353123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 24278944125 + ... + 24278944947.

It is an arithmetic number, because the mean of its divisors is an integer number (34620112800).

Almost surely, 2^{19981571353128} is an apocalyptic number.

19981571353128 is a gapful number since it is divisible by the number (18) 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 19981571353128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39882369945600).

19981571353128 is an abundant number, since it is smaller than the sum of its proper divisors (59783168538072).

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

19981571353128 is a wasteful number, since it uses less digits than its factorization.

19981571353128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 939 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 63.

The spelling of 19981571353128 in words is "nineteen trillion, nine hundred eighty-one billion, five hundred seventy-one million, three hundred fifty-three thousand, one hundred twenty-eight".