20008917540864 has 1176 divisors, whose sum is σ = 70585958183148. Its totient is φ = 5651870515200.

The previous prime is 20008917540851. The next prime is 20008917540893. The reversal of 20008917540864 is 46804571980002.

It is a happy number.

20008917540864 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 8 + 9 + 17 + 540 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12732907622400 + 7276009918464 = 3568320^2 + 2697408^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

It is a super-2 number, since 2×20008917540864² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20008917540864.

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 83 ways as a sum of consecutive naturals, for example, 29555269294 + ... + 29555269970.

Almost surely, 2^{20008917540864} is an apocalyptic number.

20008917540864 is a gapful number since it is divisible by the number (24) 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 20008917540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35292979091574).

20008917540864 is an abundant number, since it is smaller than the sum of its proper divisors (50577040642284).

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

20008917540864 is an frugal number, since it uses more digits than its factorization.

20008917540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 20008917540864 in words is "twenty trillion, eight billion, nine hundred seventeen million, five hundred forty thousand, eight hundred sixty-four".