19955786256 has 180 divisors, whose sum is σ = 65074545900. Its totient is φ = 5692184064.

The previous prime is 19955786239. The next prime is 19955786297. The reversal of 19955786256 is 65268755991.

19955786256 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 578 + 6 + 2 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5728067856 + 14227718400 = 75684^2 + 119280^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 19955786193 and 19955786202.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 5000710 + ... + 5004698.

It is an arithmetic number, because the mean of its divisors is an integer number (361525255).

Almost surely, 2^19955786256 is an apocalyptic number.

19955786256 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 19955786256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32537272950).

19955786256 is an abundant number, since it is smaller than the sum of its proper divisors (45118759644).

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

19955786256 is a wasteful number, since it uses less digits than its factorization.

19955786256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4710 counting only the distinct ones).

The product of its digits is 40824000, while the sum is 63.

The spelling of 19955786256 in words is "nineteen billion, nine hundred fifty-five million, seven hundred eighty-six thousand, two hundred fifty-six".