19958163111936 has 765 divisors, whose sum is σ = 69614072875809. Its totient is φ = 5681746280448.

The previous prime is 19958163111883. The next prime is 19958163111967. The reversal of 19958163111936 is 63911136185991.

The square root of 19958163111936 is 4467456.

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

19958163111936 is a `hidden beast` number, since 1 + 9 + 9 + 581 + 6 + 3 + 1 + 1 + 19 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3439986278400 + 16518176833536 = 1854720^2 + 4064256^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 72051130230 + ... + 72051130506.

Almost surely, 2^{19958163111936} is an apocalyptic number.

19958163111936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19958163111936 is the 4467456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19958163111936

19958163111936 is an abundant number, since it is smaller than the sum of its proper divisors (49655909763873).

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

19958163111936 is an frugal number, since it uses more digits than its factorization.

19958163111936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 289 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 63.

The spelling of 19958163111936 in words is "nineteen trillion, nine hundred fifty-eight billion, one hundred sixty-three million, one hundred eleven thousand, nine hundred thirty-six".