19827929088 has 312 divisors, whose sum is σ = 64830257856. Its totient is φ = 6005145600.

The previous prime is 19827929083. The next prime is 19827929101. The reversal of 19827929088 is 88092972891.

It is not an unprimeable number, because it can be changed into a prime (19827929083) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10947703 + ... + 10949513.

It is an arithmetic number, because the mean of its divisors is an integer number (207789288).

Almost surely, 2^19827929088 is an apocalyptic number.

19827929088 is a gapful number since it is divisible by the number (18) 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 19827929088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32415128928).

19827929088 is an abundant number, since it is smaller than the sum of its proper divisors (45002328768).

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

19827929088 is an equidigital number, since it uses as much as digits as its factorization.

19827929088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 19827929088 in words is "nineteen billion, eight hundred twenty-seven million, nine hundred twenty-nine thousand, eighty-eight".