19864168729392 has 160 divisors (see below), whose sum is σ = 57071285426176. Its totient is φ = 5912248320000.

The previous prime is 19864168729369. The next prime is 19864168729393. The reversal of 19864168729392 is 29392786146891.

It is not an unprimeable number, because it can be changed into a prime (19864168729393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43315248 + ... + 43771440.

Almost surely, 2^{19864168729392} is an apocalyptic number.

19864168729392 is a gapful number since it is divisible by the number (12) 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 19864168729392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28535642713088).

19864168729392 is an abundant number, since it is smaller than the sum of its proper divisors (37207116696784).

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

19864168729392 is a wasteful number, since it uses less digits than its factorization.

19864168729392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458499 (or 458493 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 75.

The spelling of 19864168729392 in words is "nineteen trillion, eight hundred sixty-four billion, one hundred sixty-eight million, seven hundred twenty-nine thousand, three hundred ninety-two".