20373765783168 has 1536 divisors, whose sum is σ = 71620145049600. Its totient is φ = 5088912998400.

The previous prime is 20373765783143. The next prime is 20373765783247. The reversal of 20373765783168 is 86138756737302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20373765783099 and 20373765783108.

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 191 ways as a sum of consecutive naturals, for example, 50807395768 + ... + 50807396168.

It is an arithmetic number, because the mean of its divisors is an integer number (46627698600).

Almost surely, 2^{20373765783168} is an apocalyptic number.

20373765783168 is a gapful number since it is divisible by the number (28) 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 20373765783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35810072524800).

20373765783168 is an abundant number, since it is smaller than the sum of its proper divisors (51246379266432).

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

20373765783168 is a wasteful number, since it uses less digits than its factorization.

20373765783168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 66.

The spelling of 20373765783168 in words is "twenty trillion, three hundred seventy-three billion, seven hundred sixty-five million, seven hundred eighty-three thousand, one hundred sixty-eight".