19437975957904 has 135 divisors (see below), whose sum is σ = 44276281653441. Its totient is φ = 8242789699200.

The previous prime is 19437975957853. The next prime is 19437975957929. The reversal of 19437975957904 is 40975957973491.

It is a happy number.

The square root of 19437975957904 is 4408852.

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., 18675777116304 + 762198841600 = 4321548^2 + 873040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12468232677 + ... + 12468234235.

Almost surely, 2^{19437975957904} is an apocalyptic number.

19437975957904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19437975957904 is the 4408852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19437975957904

19437975957904 is an abundant number, since it is smaller than the sum of its proper divisors (24838305695537).

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

19437975957904 is an frugal number, since it uses more digits than its factorization.

19437975957904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 2700507600, while the sum is 79.

The spelling of 19437975957904 in words is "nineteen trillion, four hundred thirty-seven billion, nine hundred seventy-five million, nine hundred fifty-seven thousand, nine hundred four".