8085971622960 has 3600 divisors, whose sum is σ = 38639632074912. Its totient is φ = 1561736816640.

The previous prime is 8085971622917. The next prime is 8085971622977. The reversal of 8085971622960 is 692261795808.

8085971622960 is a `hidden beast` number, since 8 + 0 + 8 + 597 + 16 + 2 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 152565502294 + ... + 152565502346.

Almost surely, 2^{8085971622960} is an apocalyptic number.

8085971622960 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 8085971622960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19319816037456).

8085971622960 is an abundant number, since it is smaller than the sum of its proper divisors (30553660451952).

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

8085971622960 is a wasteful number, since it uses less digits than its factorization.

8085971622960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 8085971622960 in words is "eight trillion, eighty-five billion, nine hundred seventy-one million, six hundred twenty-two thousand, nine hundred sixty".