19378936418688 has 576 divisors, whose sum is σ = 72311633372160. Its totient is φ = 4871111731200.

The previous prime is 19378936418683. The next prime is 19378936418713. The reversal of 19378936418688 is 88681463987391.

19378936418688 is a `hidden beast` number, since 1 + 9 + 3 + 78 + 9 + 364 + 186 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19378936418683) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29927731 + ... + 30568397.

It is an arithmetic number, because the mean of its divisors is an integer number (125541030160).

Almost surely, 2^{19378936418688} is an apocalyptic number.

19378936418688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19378936418688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36155816686080).

19378936418688 is an abundant number, since it is smaller than the sum of its proper divisors (52932696953472).

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

19378936418688 is a wasteful number, since it uses less digits than its factorization.

19378936418688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640747 (or 640721 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 81.

The spelling of 19378936418688 in words is "nineteen trillion, three hundred seventy-eight billion, nine hundred thirty-six million, four hundred eighteen thousand, six hundred eighty-eight".