86017627728 has 80 divisors (see below), whose sum is σ = 247028564160. Its totient is φ = 28657897344.

The previous prime is 86017627681. The next prime is 86017627789. The reversal of 86017627728 is 82772671068.

It is a happy number.

86017627728 is a `hidden beast` number, since 8 + 6 + 0 + 1 + 7 + 627 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 812851 + ... + 912557.

It is an arithmetic number, because the mean of its divisors is an integer number (3087857052).

Almost surely, 2^86017627728 is an apocalyptic number.

It is an amenable number.

86017627728 is an abundant number, since it is smaller than the sum of its proper divisors (161010936432).

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

86017627728 is a wasteful number, since it uses less digits than its factorization.

86017627728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101721 (or 101709 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 86017627728 in words is "eighty-six billion, seventeen million, six hundred twenty-seven thousand, seven hundred twenty-eight".