19887339050656 has 768 divisors, whose sum is σ = 54492601540608. Its totient is φ = 6908873932800.

The previous prime is 19887339050647. The next prime is 19887339050723. The reversal of 19887339050656 is 65605093378891.

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, 14548162485 + ... + 14548163851.

It is an arithmetic number, because the mean of its divisors is an integer number (70953908256).

Almost surely, 2^{19887339050656} is an apocalyptic number.

19887339050656 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 19887339050656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27246300770304).

19887339050656 is an abundant number, since it is smaller than the sum of its proper divisors (34605262489952).

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

19887339050656 is a wasteful number, since it uses less digits than its factorization.

19887339050656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 70.

The spelling of 19887339050656 in words is "nineteen trillion, eight hundred eighty-seven billion, three hundred thirty-nine million, fifty thousand, six hundred fifty-six".