86208437952 has 672 divisors, whose sum is σ = 323522035200. Its totient is φ = 21311963136.

The previous prime is 86208437947. The next prime is 86208437977. The reversal of 86208437952 is 25973480268.

86208437952 is a `hidden beast` number, since 8 + 620 + 8 + 4 + 3 + 7 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 106561324 + ... + 106562132.

It is an arithmetic number, because the mean of its divisors is an integer number (481431600).

Almost surely, 2^86208437952 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 86208437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161761017600).

86208437952 is an abundant number, since it is smaller than the sum of its proper divisors (237313597248).

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

86208437952 is a wasteful number, since it uses less digits than its factorization.

86208437952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 86208437952 in words is "eighty-six billion, two hundred eight million, four hundred thirty-seven thousand, nine hundred fifty-two".