19827967760 has 40 divisors (see below), whose sum is σ = 46178669376. Its totient is φ = 7917656960.

The previous prime is 19827967759. The next prime is 19827967763. The reversal of 19827967760 is 6776972891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 19827967693 and 19827967702.

It is not an unprimeable number, because it can be changed into a prime (19827967763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 164156 + ... + 258075.

Almost surely, 2^19827967760 is an apocalyptic number.

19827967760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19827967760 is an abundant number, since it is smaller than the sum of its proper divisors (26350701616).

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

19827967760 is a wasteful number, since it uses less digits than its factorization.

19827967760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422831 (or 422825 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 62.

The spelling of 19827967760 in words is "nineteen billion, eight hundred twenty-seven million, nine hundred sixty-seven thousand, seven hundred sixty".