19982180961432 has 768 divisors, whose sum is σ = 64841967590400. Its totient is φ = 5516622397440.

The previous prime is 19982180961427. The next prime is 19982180961467. The reversal of 19982180961432 is 23416908128991.

19982180961432 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 2 + 1 + 8 + 0 + 9 + 614 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19982180961432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1439320363 + ... + 1439334245.

It is an arithmetic number, because the mean of its divisors is an integer number (84429645300).

Almost surely, 2^{19982180961432} is an apocalyptic number.

19982180961432 is a gapful number since it is divisible by the number (12) 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 19982180961432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32420983795200).

19982180961432 is an abundant number, since it is smaller than the sum of its proper divisors (44859786628968).

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

19982180961432 is a wasteful number, since it uses less digits than its factorization.

19982180961432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14048 (or 14041 counting only the distinct ones).

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

The spelling of 19982180961432 in words is "nineteen trillion, nine hundred eighty-two billion, one hundred eighty million, nine hundred sixty-one thousand, four hundred thirty-two".