19417859664 has 160 divisors (see below), whose sum is σ = 60090439680. Its totient is φ = 5282889216.

The previous prime is 19417859611. The next prime is 19417859707. The reversal of 19417859664 is 46695871491.

It is a junction number, because it is equal to n+sod(n) for n = 19417859598 and 19417859607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748722 + ... + 1759790.

It is an arithmetic number, because the mean of its divisors is an integer number (375565248).

Almost surely, 2^19417859664 is an apocalyptic number.

19417859664 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 19417859664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30045219840).

19417859664 is an abundant number, since it is smaller than the sum of its proper divisors (40672580016).

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

19417859664 is a wasteful number, since it uses less digits than its factorization.

19417859664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11337 (or 11331 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The spelling of 19417859664 in words is "nineteen billion, four hundred seventeen million, eight hundred fifty-nine thousand, six hundred sixty-four".