20005105576272 has 320 divisors, whose sum is σ = 57525946675200. Its totient is φ = 5964289873920.

The previous prime is 20005105576217. The next prime is 20005105576327. The reversal of 20005105576272 is 27267550150002.

It is an interprime number because it is at equal distance from previous prime (20005105576217) and next prime (20005105576327).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1468042323 + ... + 1468055949.

It is an arithmetic number, because the mean of its divisors is an integer number (179768583360).

Almost surely, 2^{20005105576272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20005105576272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28762973337600).

20005105576272 is an abundant number, since it is smaller than the sum of its proper divisors (37520841098928).

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

20005105576272 is a wasteful number, since it uses less digits than its factorization.

20005105576272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14914 (or 14908 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 20005105576272 in words is "twenty trillion, five billion, one hundred five million, five hundred seventy-six thousand, two hundred seventy-two".