19828855804896 has 192 divisors, whose sum is σ = 58067639562240. Its totient is φ = 6582947443200.

The previous prime is 19828855804777. The next prime is 19828855804907. The reversal of 19828855804896 is 69840855882891.

19828855804896 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 8 + 8 + 55 + 80 + 489 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386335281 + ... + 1386349583.

It is an arithmetic number, because the mean of its divisors is an integer number (302435622720).

Almost surely, 2^{19828855804896} is an apocalyptic number.

19828855804896 is a gapful number since it is divisible by the number (16) 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 19828855804896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29033819781120).

19828855804896 is an abundant number, since it is smaller than the sum of its proper divisors (38238783757344).

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

19828855804896 is a wasteful number, since it uses less digits than its factorization.

19828855804896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20686 (or 20672 counting only the distinct ones).

The product of its (nonzero) digits is 3185049600, while the sum is 81.

The spelling of 19828855804896 in words is "nineteen trillion, eight hundred twenty-eight billion, eight hundred fifty-five million, eight hundred four thousand, eight hundred ninety-six".