19552607079889 has 81 divisors (see below), whose sum is σ = 22607577722457. Its totient is φ = 16901731461888.

The previous prime is 19552607079851. The next prime is 19552607079899. The reversal of 19552607079889 is 98897070625591.

The square root of 19552607079889 is 4421833.

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

It can be written as a sum of positive squares in 40 ways, for example, as 15735303900625 + 3817303179264 = 3966775^2 + 1953792^2 .

It is a de Polignac number, because none of the positive numbers 2^k-19552607079889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19552607079899) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61680148359 + ... + 61680148675.

Almost surely, 2^{19552607079889} is an apocalyptic number.

19552607079889 is the 4421833-rd square number.

19552607079889 is the 2210917-th centered octagonal number.

It is an amenable number.

19552607079889 is a deficient number, since it is larger than the sum of its proper divisors (3054970642568).

19552607079889 is an frugal number, since it uses more digits than its factorization.

19552607079889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 76.

The spelling of 19552607079889 in words is "nineteen trillion, five hundred fifty-two billion, six hundred seven million, seventy-nine thousand, eight hundred eighty-nine".