19240685568 has 312 divisors, whose sum is σ = 62111107968. Its totient is φ = 5916229632.

The previous prime is 19240685543. The next prime is 19240685579. The reversal of 19240685568 is 86558604291.

19240685568 is a `hidden beast` number, since 1 + 9 + 24 + 0 + 68 + 556 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×19240685568² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 12938521 + ... + 12940007.

It is an arithmetic number, because the mean of its divisors is an integer number (199074064).

Almost surely, 2^19240685568 is an apocalyptic number.

19240685568 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 19240685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31055553984).

19240685568 is an abundant number, since it is smaller than the sum of its proper divisors (42870422400).

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

19240685568 is an equidigital number, since it uses as much as digits as its factorization.

19240685568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 19240685568 in words is "nineteen billion, two hundred forty million, six hundred eighty-five thousand, five hundred sixty-eight".