19793495335680 has 1728 divisors, whose sum is σ = 84574462089600. Its totient is φ = 4359979008000.

The previous prime is 19793495335667. The next prime is 19793495335693. The reversal of 19793495335680 is 8653359439791.

19793495335680 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 3 + 4 + 9 + 53 + 3 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (19793495335667) and next prime (19793495335693).

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 19793495335599 and 19793495335608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2061602880 + ... + 2061612480.

It is an arithmetic number, because the mean of its divisors is an integer number (48943554450).

Almost surely, 2^{19793495335680} is an apocalyptic number.

19793495335680 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 19793495335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42287231044800).

19793495335680 is an abundant number, since it is smaller than the sum of its proper divisors (64780966753920).

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

19793495335680 is a wasteful number, since it uses less digits than its factorization.

19793495335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9699 (or 9668 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 19793495335680 in words is "nineteen trillion, seven hundred ninety-three billion, four hundred ninety-five million, three hundred thirty-five thousand, six hundred eighty".