19582084096 has 33 divisors (see below), whose sum is σ = 39153998641. Its totient is φ = 9788803072.

The previous prime is 19582084079. The next prime is 19582084099. The reversal of 19582084096 is 69048028591.

The square root of 19582084096 is 139936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11252966400 + 8329117696 = 106080^2 + 91264^2 .

It is a super-2 number, since 2×19582084096² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19582084099) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4475766 + ... + 4480138.

Almost surely, 2^19582084096 is an apocalyptic number.

19582084096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19582084096 is the 139936-th square number.

It is an amenable number.

19582084096 is a deficient number, since it is larger than the sum of its proper divisors (19571914545).

19582084096 is an frugal number, since it uses more digits than its factorization.

19582084096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 19582084096 in words is "nineteen billion, five hundred eighty-two million, eighty-four thousand, ninety-six".