511160166160 has 320 divisors, whose sum is σ = 1453672673280. Its totient is φ = 163261163520.

The previous prime is 511160166151. The next prime is 511160166163. The reversal of 511160166160 is 61661061115.

It is a super-2 number, since 2×511160166160² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511160166163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413225062 + ... + 413226298.

It is an arithmetic number, because the mean of its divisors is an integer number (4542727104).

Almost surely, 2^511160166160 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 511160166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726836336640).

511160166160 is an abundant number, since it is smaller than the sum of its proper divisors (942512507120).

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

511160166160 is a wasteful number, since it uses less digits than its factorization.

511160166160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 511160166160 in words is "five hundred eleven billion, one hundred sixty million, one hundred sixty-six thousand, one hundred sixty".