86808606460224 has 224 divisors, whose sum is σ = 254790089473920. Its totient is φ = 25862071910400.

The previous prime is 86808606460193. The next prime is 86808606460231. The reversal of 86808606460224 is 42206460680868.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272062572 + ... + 272381460.

It is an arithmetic number, because the mean of its divisors is an integer number (1137455756580).

Almost surely, 2^{86808606460224} 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 86808606460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127395044736960).

86808606460224 is an abundant number, since it is smaller than the sum of its proper divisors (167981483013696).

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

86808606460224 is a wasteful number, since it uses less digits than its factorization.

86808606460224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321089 (or 321079 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 86808606460224 in words is "eighty-six trillion, eight hundred eight billion, six hundred six million, four hundred sixty thousand, two hundred twenty-four".