19981310390514 has 256 divisors, whose sum is σ = 53096269824000. Its totient is φ = 5499015091200.

The previous prime is 19981310390413. The next prime is 19981310390537. The reversal of 19981310390514 is 41509301318991.

19981310390514 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 1 + 31 + 0 + 3 + 90 + 514 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 108532212 + ... + 108716160.

It is an arithmetic number, because the mean of its divisors is an integer number (207407304000).

Almost surely, 2^{19981310390514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19981310390514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26548134912000).

19981310390514 is an abundant number, since it is smaller than the sum of its proper divisors (33114959433486).

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

19981310390514 is a wasteful number, since it uses less digits than its factorization.

19981310390514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184366 (or 184360 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 19981310390514 in words is "nineteen trillion, nine hundred eighty-one billion, three hundred ten million, three hundred ninety thousand, five hundred fourteen".