19097729620992 has 352 divisors, whose sum is σ = 61722509103360. Its totient is φ = 5785069731840.

The previous prime is 19097729620939. The next prime is 19097729621027. The reversal of 19097729620992 is 29902692779091.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 19097729620992.

It is a congruent number.

It is an unprimeable number.

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, 961946938 + ... + 961966790.

Almost surely, 2^{19097729620992} is an apocalyptic number.

19097729620992 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 19097729620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30861254551680).

19097729620992 is an abundant number, since it is smaller than the sum of its proper divisors (42624779482368).

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

19097729620992 is a wasteful number, since it uses less digits than its factorization.

19097729620992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23056 (or 23032 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 72.

The spelling of 19097729620992 in words is "nineteen trillion, ninety-seven billion, seven hundred twenty-nine million, six hundred twenty thousand, nine hundred ninety-two".