86456885760 has 1200 divisors, whose sum is σ = 368473273344. Its totient is φ = 19313344512.

The previous prime is 86456885743. The next prime is 86456885777. The reversal of 86456885760 is 6758865468.

86456885760 is a `hidden beast` number, since 8 + 6 + 4 + 56 + 8 + 8 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86456885743) and next prime (86456885777).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 680762817 + ... + 680762943.

Almost surely, 2^86456885760 is an apocalyptic number.

86456885760 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 86456885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184236636672).

86456885760 is an abundant number, since it is smaller than the sum of its proper divisors (282016387584).

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

86456885760 is a wasteful number, since it uses less digits than its factorization.

86456885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 86456885760 in words is "eighty-six billion, four hundred fifty-six million, eight hundred eighty-five thousand, seven hundred sixty".