86321705367744 has 672 divisors, whose sum is σ = 310108899110400. Its totient is φ = 22303011225600.

The previous prime is 86321705367671. The next prime is 86321705367773. The reversal of 86321705367744 is 44776350712368.

86321705367744 is a `hidden beast` number, since 8 + 6 + 3 + 21 + 7 + 0 + 536 + 7 + 74 + 4 = 666.

86321705367744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7639759407 + ... + 7639770705.

Almost surely, 2^{86321705367744} is an apocalyptic number.

86321705367744 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 86321705367744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155054449555200).

86321705367744 is an abundant number, since it is smaller than the sum of its proper divisors (223787193742656).

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

86321705367744 is a wasteful number, since it uses less digits than its factorization.

86321705367744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229 (or 12216 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 86321705367744 in words is "eighty-six trillion, three hundred twenty-one billion, seven hundred five million, three hundred sixty-seven thousand, seven hundred forty-four".