19959094288368 has 320 divisors, whose sum is σ = 61043387080320. Its totient is φ = 6222140080128.

The previous prime is 19959094288337. The next prime is 19959094288481. The reversal of 19959094288368 is 86388249095991.

19959094288368 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 90 + 94 + 2 + 88 + 368 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3528208996 + ... + 3528214652.

It is an arithmetic number, because the mean of its divisors is an integer number (190760584626).

Almost surely, 2^{19959094288368} is an apocalyptic number.

19959094288368 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 19959094288368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30521693540160).

19959094288368 is an abundant number, since it is smaller than the sum of its proper divisors (41084292791952).

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

19959094288368 is a wasteful number, since it uses less digits than its factorization.

19959094288368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8641 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 81.

The spelling of 19959094288368 in words is "nineteen trillion, nine hundred fifty-nine billion, ninety-four million, two hundred eighty-eight thousand, three hundred sixty-eight".