19068164881920 has 5760 divisors, whose sum is σ = 96238340352000. Its totient is φ = 3567007825920.

The previous prime is 19068164881879. The next prime is 19068164881949. The reversal of 19068164881920 is 2918846186091.

19068164881920 is a `hidden beast` number, since 1 + 9 + 0 + 68 + 1 + 6 + 488 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 829050647029 + ... + 829050647051.

It is an arithmetic number, because the mean of its divisors is an integer number (16708045200).

Almost surely, 2^{19068164881920} is an apocalyptic number.

19068164881920 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 19068164881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48119170176000).

19068164881920 is an abundant number, since it is smaller than the sum of its proper divisors (77170175470080).

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

19068164881920 is a wasteful number, since it uses less digits than its factorization.

19068164881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 19068164881920 in words is "nineteen trillion, sixty-eight billion, one hundred sixty-four million, eight hundred eighty-one thousand, nine hundred twenty".