160160000000064 has 224 divisors, whose sum is σ = 449324088164352. Its totient is φ = 50174592000000.

The previous prime is 160160000000057. The next prime is 160160000000089. The reversal of 160160000000064 is 460000000061061.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 160159999999971 and 160160000000043.

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 31 ways as a sum of consecutive naturals, for example, 7329630739 + ... + 7329652589.

Almost surely, 2^{160160000000064} 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 160160000000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224662044082176).

160160000000064 is an abundant number, since it is smaller than the sum of its proper divisors (289164088164288).

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

160160000000064 is a wasteful number, since it uses less digits than its factorization.

160160000000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24985 (or 24975 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 160160000000064 in words is "one hundred sixty trillion, one hundred sixty billion, sixty-four", and thus it is an aban number.