19638427656672 has 144 divisors (see below), whose sum is σ = 61054220852352. Its totient is φ = 5938295112960.

The previous prime is 19638427656619. The next prime is 19638427656713. The reversal of 19638427656672 is 27665672483691.

It is a happy number.

19638427656672 is a `hidden beast` number, since 1 + 9 + 6 + 38 + 4 + 27 + 6 + 566 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×19638427656672² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19638427656672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5157588 + ... + 8116499.

It is an arithmetic number, because the mean of its divisors is an integer number (423987644808).

Almost surely, 2^{19638427656672} is an apocalyptic number.

19638427656672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19638427656672 is an abundant number, since it is smaller than the sum of its proper divisors (41415793195680).

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

19638427656672 is a wasteful number, since it uses less digits than its factorization.

19638427656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13274581 (or 13274570 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 19638427656672 in words is "nineteen trillion, six hundred thirty-eight billion, four hundred twenty-seven million, six hundred fifty-six thousand, six hundred seventy-two".