19385517457680 has 480 divisors, whose sum is σ = 66853158624000. Its totient is φ = 4642901852160.

The previous prime is 19385517457673. The next prime is 19385517457741. The reversal of 19385517457680 is 8675471558391.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1687305376 + ... + 1687316864.

It is an arithmetic number, because the mean of its divisors is an integer number (139277413800).

Almost surely, 2^{19385517457680} is an apocalyptic number.

19385517457680 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 19385517457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33426579312000).

19385517457680 is an abundant number, since it is smaller than the sum of its proper divisors (47467641166320).

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

19385517457680 is a wasteful number, since it uses less digits than its factorization.

19385517457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12223 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 69.

The spelling of 19385517457680 in words is "nineteen trillion, three hundred eighty-five billion, five hundred seventeen million, four hundred fifty-seven thousand, six hundred eighty".