19855300608 has 768 divisors, whose sum is σ = 72208281600. Its totient is φ = 5374771200.

The previous prime is 19855300567. The next prime is 19855300651. The reversal of 19855300608 is 80600355891.

19855300608 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 5 + 30 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640493553 + ... + 640493583.

It is an arithmetic number, because the mean of its divisors is an integer number (94021200).

Almost surely, 2^19855300608 is an apocalyptic number.

19855300608 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 19855300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36104140800).

19855300608 is an abundant number, since it is smaller than the sum of its proper divisors (52352980992).

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

19855300608 is an equidigital number, since it uses as much as digits as its factorization.

19855300608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 19855300608 in words is "nineteen billion, eight hundred fifty-five million, three hundred thousand, six hundred eight".