19068086880 has 480 divisors, whose sum is σ = 71365916160. Its totient is φ = 4781306880.

The previous prime is 19068086879. The next prime is 19068086909. The reversal of 19068086880 is 8868086091.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51956457 + ... + 51956823.

It is an arithmetic number, because the mean of its divisors is an integer number (148678992).

Almost surely, 2^19068086880 is an apocalyptic number.

19068086880 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 19068086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35682958080).

19068086880 is an abundant number, since it is smaller than the sum of its proper divisors (52297829280).

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

19068086880 is a wasteful number, since it uses less digits than its factorization.

19068086880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 19068086880 in words is "nineteen billion, sixty-eight million, eighty-six thousand, eight hundred eighty".