86209178040 has 704 divisors, whose sum is σ = 327153232800. Its totient is φ = 20316635136.

The previous prime is 86209178017. The next prime is 86209178063. The reversal of 86209178040 is 4087190268.

86209178040 is a `hidden beast` number, since 8 + 620 + 9 + 17 + 8 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86209178017) and next prime (86209178063).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 762913024 + ... + 762913136.

Almost surely, 2^86209178040 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 86209178040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163576616400).

86209178040 is an abundant number, since it is smaller than the sum of its proper divisors (240944054760).

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

86209178040 is a wasteful number, since it uses less digits than its factorization.

86209178040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 86209178040 in words is "eighty-six billion, two hundred nine million, one hundred seventy-eight thousand, forty".