19097028864 has 81 divisors (see below), whose sum is σ = 55080574003. Its totient is φ = 6363465216.

The previous prime is 19097028799. The next prime is 19097028911. The reversal of 19097028864 is 46882079091.

The square root of 19097028864 is 138192.

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

It is a super-2 number, since 2×19097028864² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19097028864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6631777 + ... + 6634655.

Almost surely, 2^19097028864 is an apocalyptic number.

19097028864 is the 138192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19097028864

19097028864 is an abundant number, since it is smaller than the sum of its proper divisors (35983545139).

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

19097028864 is an frugal number, since it uses more digits than its factorization.

19097028864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 19097028864 in words is "nineteen billion, ninety-seven million, twenty-eight thousand, eight hundred sixty-four".