19519914480768 has 384 divisors, whose sum is σ = 62770996753920. Its totient is φ = 6002377261056.

The previous prime is 19519914480757. The next prime is 19519914480793. The reversal of 19519914480768 is 86708441991591.

19519914480768 is a `hidden beast` number, since 1 + 9 + 51 + 9 + 91 + 4 + 480 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×19519914480768² (a number of 27 digits) contains 22 as substring.

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 = 19519914480696 and 19519914480705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686171121 + ... + 686199567.

It is an arithmetic number, because the mean of its divisors is an integer number (163466137380).

Almost surely, 2^{19519914480768} is an apocalyptic number.

19519914480768 is a gapful number since it is divisible by the number (18) 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 19519914480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31385498376960).

19519914480768 is an abundant number, since it is smaller than the sum of its proper divisors (43251082273152).

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

19519914480768 is a wasteful number, since it uses less digits than its factorization.

19519914480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30186 (or 30162 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 72.

The spelling of 19519914480768 in words is "nineteen trillion, five hundred nineteen billion, nine hundred fourteen million, four hundred eighty thousand, seven hundred sixty-eight".