20078161600608 has 144 divisors (see below), whose sum is σ = 57408288537600. Its totient is φ = 6656325596928.

The previous prime is 20078161600597. The next prime is 20078161600639. The reversal of 20078161600608 is 80600616187002.

It is a happy number.

20078161600608 is a `hidden beast` number, since 20 + 0 + 7 + 8 + 1 + 6 + 16 + 0 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63059793 + ... + 63377391.

It is an arithmetic number, because the mean of its divisors is an integer number (398668670400).

Almost surely, 2^{20078161600608} 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 20078161600608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28704144268800).

20078161600608 is an abundant number, since it is smaller than the sum of its proper divisors (37330126936992).

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

20078161600608 is a wasteful number, since it uses less digits than its factorization.

20078161600608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318809 (or 318798 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 20078161600608 in words is "twenty trillion, seventy-eight billion, one hundred sixty-one million, six hundred thousand, six hundred eight".