8156895120 has 480 divisors, whose sum is σ = 32340072960. Its totient is φ = 1820098560.

The previous prime is 8156895107. The next prime is 8156895143. The reversal of 8156895120 is 215986518.

It is a happy number.

8156895120 is a `hidden beast` number, since 8 + 1 + 56 + 89 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6327436 + ... + 6328724.

It is an arithmetic number, because the mean of its divisors is an integer number (67375152).

Almost surely, 2^8156895120 is an apocalyptic number.

8156895120 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 8156895120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170036480).

8156895120 is an abundant number, since it is smaller than the sum of its proper divisors (24183177840).

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

8156895120 is a wasteful number, since it uses less digits than its factorization.

8156895120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 8156895120 is about 90315.5308903181. The cubic root of 8156895120 is about 2012.9900400996.

The spelling of 8156895120 in words is "eight billion, one hundred fifty-six million, eight hundred ninety-five thousand, one hundred twenty".