19080368340000 has 480 divisors, whose sum is σ = 68440365322560. Its totient is φ = 4614489600000.

The previous prime is 19080368339957. The next prime is 19080368340013. The reversal of 19080368340000 is 4386308091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 277825666 + ... + 277894334.

It is an arithmetic number, because the mean of its divisors is an integer number (142584094422).

Almost surely, 2^{19080368340000} is an apocalyptic number.

19080368340000 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 19080368340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34220182661280).

19080368340000 is an abundant number, since it is smaller than the sum of its proper divisors (49359996982560).

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

19080368340000 is a wasteful number, since it uses less digits than its factorization.

19080368340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69134 (or 69111 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 19080368340000 in words is "nineteen trillion, eighty billion, three hundred sixty-eight million, three hundred forty thousand".