19966412098080 has 432 divisors, whose sum is σ = 79328002126464. Its totient is φ = 4559808476160.

The previous prime is 19966412097997. The next prime is 19966412098081. The reversal of 19966412098080 is 8089021466991.

19966412098080 is a `hidden beast` number, since 1 + 9 + 9 + 66 + 412 + 0 + 9 + 80 + 80 = 666.

It is a super-2 number, since 2×19966412098080² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19966412097999 and 19966412098017.

It is not an unprimeable number, because it can be changed into a prime (19966412098081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81939625 + ... + 82182935.

It is an arithmetic number, because the mean of its divisors is an integer number (183629634552).

Almost surely, 2^{19966412098080} is an apocalyptic number.

19966412098080 is a gapful number since it is divisible by the number (10) 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 19966412098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39664001063232).

19966412098080 is an abundant number, since it is smaller than the sum of its proper divisors (59361590028384).

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

19966412098080 is a wasteful number, since it uses less digits than its factorization.

19966412098080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244509 (or 244491 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 19966412098080 in words is "nineteen trillion, nine hundred sixty-six billion, four hundred twelve million, ninety-eight thousand, eighty".