19954090368 has 128 divisors (see below), whose sum is σ = 59129481600. Its totient is φ = 6624576000.

The previous prime is 19954090367. The next prime is 19954090379. The reversal of 19954090368 is 86309045991.

19954090368 is a `hidden beast` number, since 1 + 9 + 9 + 540 + 90 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19954090367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855955 + ... + 878957.

It is an arithmetic number, because the mean of its divisors is an integer number (461949075).

Almost surely, 2^19954090368 is an apocalyptic number.

19954090368 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 19954090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29564740800).

19954090368 is an abundant number, since it is smaller than the sum of its proper divisors (39175391232).

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

19954090368 is a wasteful number, since it uses less digits than its factorization.

19954090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23277 (or 23259 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 19954090368 in words is "nineteen billion, nine hundred fifty-four million, ninety thousand, three hundred sixty-eight".