19904244295680 has 288 divisors, whose sum is σ = 69128705318400. Its totient is φ = 5296705732608.

The previous prime is 19904244295679. The next prime is 19904244295687. The reversal of 19904244295680 is 8659244240991.

19904244295680 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 4 + 2 + 44 + 29 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (19904244295687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43919197 + ... + 44370083.

It is an arithmetic number, because the mean of its divisors is an integer number (240030226800).

Almost surely, 2^{19904244295680} is an apocalyptic number.

19904244295680 is a gapful number since it is divisible by the number (10) 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 19904244295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564352659200).

19904244295680 is an abundant number, since it is smaller than the sum of its proper divisors (49224461022720).

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

19904244295680 is a wasteful number, since it uses less digits than its factorization.

19904244295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451399 (or 451376 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 19904244295680 in words is "nineteen trillion, nine hundred four billion, two hundred forty-four million, two hundred ninety-five thousand, six hundred eighty".