19882902381408 has 768 divisors, whose sum is σ = 68705498695680. Its totient is φ = 5526503424000.

The previous prime is 19882902381379. The next prime is 19882902381431. The reversal of 19882902381408 is 80418320928891.

19882902381408 is a `hidden beast` number, since 1 + 98 + 82 + 90 + 2 + 381 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1293021016 + ... + 1293036392.

It is an arithmetic number, because the mean of its divisors is an integer number (89460284760).

Almost surely, 2^{19882902381408} is an apocalyptic number.

19882902381408 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 19882902381408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352749347840).

19882902381408 is an abundant number, since it is smaller than the sum of its proper divisors (48822596314272).

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

19882902381408 is a wasteful number, since it uses less digits than its factorization.

19882902381408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15628 (or 15614 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 19882902381408 in words is "nineteen trillion, eight hundred eighty-two billion, nine hundred two million, three hundred eighty-one thousand, four hundred eight".