86555363664 has 480 divisors, whose sum is σ = 299230848000. Its totient is φ = 21042616320.

The previous prime is 86555363651. The next prime is 86555363723. The reversal of 86555363664 is 46636355568.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68748667 + ... + 68749925.

It is an arithmetic number, because the mean of its divisors is an integer number (623397600).

Almost surely, 2^86555363664 is an apocalyptic number.

86555363664 is a gapful number since it is divisible by the number (84) 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 86555363664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424000).

86555363664 is an abundant number, since it is smaller than the sum of its proper divisors (212675484336).

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

86555363664 is a wasteful number, since it uses less digits than its factorization.

86555363664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1390 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 57.

The spelling of 86555363664 in words is "eighty-six billion, five hundred fifty-five million, three hundred sixty-three thousand, six hundred sixty-four".