2036060085168 has 640 divisors, whose sum is σ = 6453666938880. Its totient is φ = 612057600000.

The previous prime is 2036060085149. The next prime is 2036060085173. The reversal of 2036060085168 is 8615800606302.

2036060085168 is a `hidden beast` number, since 2 + 0 + 36 + 0 + 600 + 8 + 5 + 1 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6151238763 + ... + 6151239093.

It is an arithmetic number, because the mean of its divisors is an integer number (10083854592).

Almost surely, 2^{2036060085168} 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 2036060085168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226833469440).

2036060085168 is an abundant number, since it is smaller than the sum of its proper divisors (4417606853712).

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

2036060085168 is a wasteful number, since it uses less digits than its factorization.

2036060085168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2036060085168 in words is "two trillion, thirty-six billion, sixty million, eighty-five thousand, one hundred sixty-eight".