20368529067312 has 240 divisors, whose sum is σ = 63694768988160. Its totient is φ = 6224676336000.

The previous prime is 20368529067269. The next prime is 20368529067353. The reversal of 20368529067312 is 21376092586302.

20368529067312 is a `hidden beast` number, since 2 + 0 + 36 + 8 + 5 + 290 + 6 + 7 + 312 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 2727937 + ... + 6941087.

It is an arithmetic number, because the mean of its divisors is an integer number (265394870784).

Almost surely, 2^{20368529067312} 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 20368529067312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31847384494080).

20368529067312 is an abundant number, since it is smaller than the sum of its proper divisors (43326239920848).

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

20368529067312 is a wasteful number, since it uses less digits than its factorization.

20368529067312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213237 (or 4213206 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 20368529067312 in words is "twenty trillion, three hundred sixty-eight billion, five hundred twenty-nine million, sixty-seven thousand, three hundred twelve".