86208160896 has 1024 divisors, whose sum is σ = 327695155200. Its totient is φ = 21897216000.

The previous prime is 86208160867. The next prime is 86208160901. The reversal of 86208160896 is 69806180268.

It is a happy number.

86208160896 is a `hidden beast` number, since 8 + 6 + 20 + 8 + 1 + 608 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260447451 + ... + 260447781.

It is an arithmetic number, because the mean of its divisors is an integer number (320014800).

Almost surely, 2^86208160896 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 86208160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163847577600).

86208160896 is an abundant number, since it is smaller than the sum of its proper divisors (241486994304).

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

86208160896 is a wasteful number, since it uses less digits than its factorization.

86208160896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 86208160896 in words is "eighty-six billion, two hundred eight million, one hundred sixty thousand, eight hundred ninety-six".