86458409856 has 1440 divisors, whose sum is σ = 347596385400. Its totient is φ = 21194514432.

The previous prime is 86458409839. The next prime is 86458409857. The reversal of 86458409856 is 65890485468.

86458409856 is a `hidden beast` number, since 8 + 6 + 458 + 40 + 98 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86458409793 and 86458409802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86458409857) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1631290726 + ... + 1631290778.

Almost surely, 2^86458409856 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 86458409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173798192700).

86458409856 is an abundant number, since it is smaller than the sum of its proper divisors (261137975544).

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

86458409856 is a wasteful number, since it uses less digits than its factorization.

86458409856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 86458409856 in words is "eighty-six billion, four hundred fifty-eight million, four hundred nine thousand, eight hundred fifty-six".