19780398144000 has 1440 divisors, whose sum is σ = 81692169674544. Its totient is φ = 4582224691200.

The previous prime is 19780398143999. The next prime is 19780398144019. The reversal of 19780398144000 is 44189308791.

19780398144000 is a `hidden beast` number, since 1 + 97 + 8 + 0 + 39 + 81 + 440 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 6526022033664 + 13254376110336 = 2554608^2 + 3640656^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1654842024 + ... + 1654853976.

Almost surely, 2^{19780398144000} is an apocalyptic number.

19780398144000 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 19780398144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40846084837272).

19780398144000 is an abundant number, since it is smaller than the sum of its proper divisors (61911771530544).

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

19780398144000 is a wasteful number, since it uses less digits than its factorization.

19780398144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12035 (or 11993 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 19780398144000 in words is "nineteen trillion, seven hundred eighty billion, three hundred ninety-eight million, one hundred forty-four thousand".