20408536608768 has 468 divisors, whose sum is σ = 74054007837264. Its totient is φ = 5300910489600.

The previous prime is 20408536608703. The next prime is 20408536608829. The reversal of 20408536608768 is 86780663580402.

20408536608768 is a `hidden beast` number, since 2 + 0 + 408 + 5 + 36 + 60 + 87 + 68 = 666.

It is a super-2 number, since 2×20408536608768² (a number of 27 digits) contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 30896998 + ... + 31550618.

Almost surely, 2^{20408536608768} is an apocalyptic number.

20408536608768 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 20408536608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37027003918632).

20408536608768 is an abundant number, since it is smaller than the sum of its proper divisors (53645471228496).

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

20408536608768 is a wasteful number, since it uses less digits than its factorization.

20408536608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653680 (or 653644 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 20408536608768 in words is "twenty trillion, four hundred eight billion, five hundred thirty-six million, six hundred eight thousand, seven hundred sixty-eight".