20503326181968 has 800 divisors, whose sum is σ = 73843915901184. Its totient is φ = 5357679427584.

The previous prime is 20503326181957. The next prime is 20503326181979. The reversal of 20503326181968 is 86918162330502.

20503326181968 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 3 + 3 + 2 + 618 + 19 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20503326181957) and next prime (20503326181979).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5780467971 + ... + 5780471517.

Almost surely, 2^{20503326181968} is an apocalyptic number.

20503326181968 is a gapful number since it is divisible by the number (28) 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 20503326181968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36921957950592).

20503326181968 is an abundant number, since it is smaller than the sum of its proper divisors (53340589719216).

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

20503326181968 is a wasteful number, since it uses less digits than its factorization.

20503326181968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 20503326181968 in words is "twenty trillion, five hundred three billion, three hundred twenty-six million, one hundred eighty-one thousand, nine hundred sixty-eight".