19969438028256 has 72 divisors (see below), whose sum is σ = 56973067134984. Its totient is φ = 6634796970240.

The previous prime is 19969438028203. The next prime is 19969438028257. The reversal of 19969438028256 is 65282083496991.

19969438028256 is a `hidden beast` number, since 1 + 9 + 9 + 69 + 438 + 0 + 2 + 82 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19969438028257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112840455 + ... + 113017286.

It is an arithmetic number, because the mean of its divisors is an integer number (791292599097).

Almost surely, 2^{19969438028256} is an apocalyptic number.

19969438028256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19969438028256 is an abundant number, since it is smaller than the sum of its proper divisors (37003629106728).

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

19969438028256 is a wasteful number, since it uses less digits than its factorization.

19969438028256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225858064 (or 225858053 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 19969438028256 in words is "nineteen trillion, nine hundred sixty-nine billion, four hundred thirty-eight million, twenty-eight thousand, two hundred fifty-six".