19679793745920 has 1664 divisors, whose sum is σ = 81780957020160. Its totient is φ = 3953826201600.

The previous prime is 19679793745903. The next prime is 19679793745967. The reversal of 19679793745920 is 2954739797691.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17745530326 + ... + 17745531434.

Almost surely, 2^{19679793745920} is an apocalyptic number.

19679793745920 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 19679793745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40890478510080).

19679793745920 is an abundant number, since it is smaller than the sum of its proper divisors (62101163274240).

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

19679793745920 is a wasteful number, since it uses less digits than its factorization.

19679793745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1620304560, while the sum is 78.

The spelling of 19679793745920 in words is "nineteen trillion, six hundred seventy-nine billion, seven hundred ninety-three million, seven hundred forty-five thousand, nine hundred twenty".