86223316354560 has 3840 divisors, whose sum is σ = 405173712936960. Its totient is φ = 17310479155200.

The previous prime is 86223316354531. The next prime is 86223316354589. The reversal of 86223316354560 is 6545361332268.

86223316354560 is a `hidden beast` number, since 8 + 6 + 2 + 2 + 3 + 31 + 6 + 3 + 545 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (86223316354531) and next prime (86223316354589).

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 86223316354497 and 86223316354506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 139746055372 + ... + 139746055988.

It is an arithmetic number, because the mean of its divisors is an integer number (105513987744).

Almost surely, 2^{86223316354560} is an apocalyptic number.

86223316354560 is a gapful number since it is divisible by the number (80) 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 86223316354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202586856468480).

86223316354560 is an abundant number, since it is smaller than the sum of its proper divisors (318950396582400).

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

86223316354560 is a wasteful number, since it uses less digits than its factorization.

86223316354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 86223316354560 in words is "eighty-six trillion, two hundred twenty-three billion, three hundred sixteen million, three hundred fifty-four thousand, five hundred sixty".