19805588880 has 640 divisors, whose sum is σ = 84604870656. Its totient is φ = 3703603200.

The previous prime is 19805588861. The next prime is 19805588927. The reversal of 19805588880 is 8888550891.

It is a super-3 number, since 3×19805588880³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7224310 + ... + 7227050.

Almost surely, 2^19805588880 is an apocalyptic number.

19805588880 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 19805588880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42302435328).

19805588880 is an abundant number, since it is smaller than the sum of its proper divisors (64799281776).

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

19805588880 is a wasteful number, since it uses less digits than its factorization.

19805588880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 60.

The spelling of 19805588880 in words is "nineteen billion, eight hundred five million, five hundred eighty-eight thousand, eight hundred eighty".