19768170405424 has 80 divisors (see below), whose sum is σ = 45209353844736. Its totient is φ = 8194250534400.

The previous prime is 19768170405421. The next prime is 19768170405433. The reversal of 19768170405424 is 42450407186791.

It is a super-2 number, since 2×19768170405424² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19768170405421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4715844 + ... + 7859740.

Almost surely, 2^{19768170405424} is an apocalyptic number.

19768170405424 is a gapful number since it is divisible by the number (14) 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 19768170405424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22604676922368).

19768170405424 is an abundant number, since it is smaller than the sum of its proper divisors (25441183439312).

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

19768170405424 is a wasteful number, since it uses less digits than its factorization.

19768170405424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145754 (or 3145748 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 19768170405424 in words is "nineteen trillion, seven hundred sixty-eight billion, one hundred seventy million, four hundred five thousand, four hundred twenty-four".