19709418960 has 1440 divisors, whose sum is σ = 92500329600. Its totient is φ = 3879912960.

The previous prime is 19709418947. The next prime is 19709418977. The reversal of 19709418960 is 6981490791.

It is a super-3 number, since 3×19709418960³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 19709418897 and 19709418906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1037337831 + ... + 1037337849.

It is an arithmetic number, because the mean of its divisors is an integer number (64236340).

Almost surely, 2^19709418960 is an apocalyptic number.

19709418960 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 19709418960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46250164800).

19709418960 is an abundant number, since it is smaller than the sum of its proper divisors (72790910640).

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

19709418960 is a wasteful number, since it uses less digits than its factorization.

19709418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 19709418960 in words is "nineteen billion, seven hundred nine million, four hundred eighteen thousand, nine hundred sixty".