19801568378880 has 1088 divisors, whose sum is σ = 73926560563200. Its totient is φ = 5021903093760.

The previous prime is 19801568378849. The next prime is 19801568378899. The reversal of 19801568378880 is 8887386510891.

19801568378880 is a `hidden beast` number, since 198 + 0 + 1 + 5 + 68 + 378 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×19801568378880² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19801568378799 and 19801568378808.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18216713697 + ... + 18216714783.

It is an arithmetic number, because the mean of its divisors is an integer number (67947206400).

Almost surely, 2^{19801568378880} is an apocalyptic number.

19801568378880 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 19801568378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36963280281600).

19801568378880 is an abundant number, since it is smaller than the sum of its proper divisors (54124992184320).

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

19801568378880 is an equidigital number, since it uses as much as digits as its factorization.

19801568378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 72.

The spelling of 19801568378880 in words is "nineteen trillion, eight hundred one billion, five hundred sixty-eight million, three hundred seventy-eight thousand, eight hundred eighty".