19374589813680 has 480 divisors, whose sum is σ = 70629215155200. Its totient is φ = 4744835622912.

The previous prime is 19374589813627. The next prime is 19374589813687. The reversal of 19374589813680 is 8631898547391.

19374589813680 is a `hidden beast` number, since 1 + 9 + 3 + 7 + 4 + 589 + 8 + 1 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 19374589813599 and 19374589813608.

It is not an unprimeable number, because it can be changed into a prime (19374589813687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85850269 + ... + 86075651.

It is an arithmetic number, because the mean of its divisors is an integer number (147144198240).

Almost surely, 2^{19374589813680} is an apocalyptic number.

19374589813680 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 19374589813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35314607577600).

19374589813680 is an abundant number, since it is smaller than the sum of its proper divisors (51254625341520).

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

19374589813680 is a wasteful number, since it uses less digits than its factorization.

19374589813680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225633 (or 225624 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 19374589813680 in words is "nineteen trillion, three hundred seventy-four billion, five hundred eighty-nine million, eight hundred thirteen thousand, six hundred eighty".