20078443318000 has 320 divisors, whose sum is σ = 49606793533440. Its totient is φ = 7858985472000.

The previous prime is 20078443317967. The next prime is 20078443318019. The reversal of 20078443318000 is 81334487002.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5921096305 + ... + 5921099695.

It is an arithmetic number, because the mean of its divisors is an integer number (155021229792).

Almost surely, 2^{20078443318000} is an apocalyptic number.

20078443318000 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 20078443318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24803396766720).

20078443318000 is an abundant number, since it is smaller than the sum of its proper divisors (29528350215440).

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

20078443318000 is a wasteful number, since it uses less digits than its factorization.

20078443318000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 20078443318000 in words is "twenty trillion, seventy-eight billion, four hundred forty-three million, three hundred eighteen thousand".