19068887980800 has 4320 divisors, whose sum is σ = 89451212256000. Its totient is φ = 3960211046400.

The previous prime is 19068887980799. The next prime is 19068887980871. The reversal of 19068887980800 is 808978886091.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 323201491171 + ... + 323201491229.

Almost surely, 2^{19068887980800} is an apocalyptic number.

19068887980800 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 19068887980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44725606128000).

19068887980800 is an abundant number, since it is smaller than the sum of its proper divisors (70382324275200).

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

19068887980800 is an equidigital number, since it uses as much as digits as its factorization.

19068887980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 72.

The spelling of 19068887980800 in words is "nineteen trillion, sixty-eight billion, eight hundred eighty-seven million, nine hundred eighty thousand, eight hundred".