20139675343200 has 4608 divisors, whose sum is σ = 95638678732800. Its totient is φ = 4035109478400.

The previous prime is 20139675343171. The next prime is 20139675343201. The reversal of 20139675343200 is 234357693102.

20139675343200 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 96 + 7 + 534 + 3 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20139675343201) by changing a digit.

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 767 ways as a sum of consecutive naturals, for example, 283657399165 + ... + 283657399235.

It is an arithmetic number, because the mean of its divisors is an integer number (20754921600).

Almost surely, 2^{20139675343200} is an apocalyptic number.

20139675343200 is a gapful number since it is divisible by the number (20) 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 20139675343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47819339366400).

20139675343200 is an abundant number, since it is smaller than the sum of its proper divisors (75499003389600).

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

20139675343200 is a wasteful number, since it uses less digits than its factorization.

20139675343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 20139675343200 in words is "twenty trillion, one hundred thirty-nine billion, six hundred seventy-five million, three hundred forty-three thousand, two hundred".