8156856960 has 384 divisors, whose sum is σ = 32525400960. Its totient is φ = 1845043200.

The previous prime is 8156856943. The next prime is 8156857087. The reversal of 8156856960 is 696586518.

It is a happy number.

8156856960 is a `hidden beast` number, since 8 + 15 + 6 + 8 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 8156856897 and 8156856906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4071319 + ... + 4073321.

It is an arithmetic number, because the mean of its divisors is an integer number (84701565).

Almost surely, 2^8156856960 is an apocalyptic number.

8156856960 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 8156856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262700480).

8156856960 is an abundant number, since it is smaller than the sum of its proper divisors (24368544000).

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

8156856960 is a wasteful number, since it uses less digits than its factorization.

8156856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 8156856960 is about 90315.3196307249. The cubic root of 8156856960 is about 2012.9869010040.

The spelling of 8156856960 in words is "eight billion, one hundred fifty-six million, eight hundred fifty-six thousand, nine hundred sixty".