86468275080 has 192 divisors, whose sum is σ = 306827352000. Its totient is φ = 20944366080.

The previous prime is 86468275067. The next prime is 86468275081. The reversal of 86468275080 is 8057286468.

86468275080 is a `hidden beast` number, since 86 + 468 + 27 + 5 + 0 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (86468275081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5048371 + ... + 5065469.

It is an arithmetic number, because the mean of its divisors is an integer number (1598059125).

Almost surely, 2^86468275080 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 86468275080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153413676000).

86468275080 is an abundant number, since it is smaller than the sum of its proper divisors (220359076920).

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

86468275080 is a wasteful number, since it uses less digits than its factorization.

86468275080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18404 (or 18397 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 86468275080 in words is "eighty-six billion, four hundred sixty-eight million, two hundred seventy-five thousand, eighty".