20017886379264 has 432 divisors, whose sum is σ = 63725729296320. Its totient is φ = 6245364695040.

The previous prime is 20017886379199. The next prime is 20017886379299. The reversal of 20017886379264 is 46297368871002.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191361727 + ... + 191466305.

It is an arithmetic number, because the mean of its divisors is an integer number (147513262260).

Almost surely, 2^{20017886379264} is an apocalyptic number.

20017886379264 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 20017886379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31862864648160).

20017886379264 is an abundant number, since it is smaller than the sum of its proper divisors (43707842917056).

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

20017886379264 is a wasteful number, since it uses less digits than its factorization.

20017886379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104808 (or 104782 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 20017886379264 in words is "twenty trillion, seventeen billion, eight hundred eighty-six million, three hundred seventy-nine thousand, two hundred sixty-four".