8156000160 has 720 divisors, whose sum is σ = 36206932608. Its totient is φ = 1692472320.

The previous prime is 8156000147. The next prime is 8156000161. The reversal of 8156000160 is 610006518.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8156000161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10976749 + ... + 10977491.

Almost surely, 2^8156000160 is an apocalyptic number.

8156000160 is a gapful number since it is divisible by the number (80) 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 8156000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103466304).

8156000160 is an abundant number, since it is smaller than the sum of its proper divisors (28050932448).

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

8156000160 is a wasteful number, since it uses less digits than its factorization.

8156000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8156000160 is about 90310.5761248371. The cubic root of 8156000160 is about 2012.9164168467.

Adding to 8156000160 its reverse (610006518), we get a palindrome (8766006678).

The spelling of 8156000160 in words is "eight billion, one hundred fifty-six million, one hundred sixty", and thus it is an aban number.