86216355015840 has 1344 divisors, whose sum is σ = 351824759193600. Its totient is φ = 19548746053632.

The previous prime is 86216355015827. The next prime is 86216355015863. The reversal of 86216355015840 is 4851055361268.

86216355015840 is a `hidden beast` number, since 8 + 6 + 2 + 1 + 6 + 3 + 5 + 50 + 1 + 584 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 65364938701 + ... + 65364940019.

It is an arithmetic number, because the mean of its divisors is an integer number (261774374400).

Almost surely, 2^{86216355015840} is an apocalyptic number.

86216355015840 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 86216355015840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175912379596800).

86216355015840 is an abundant number, since it is smaller than the sum of its proper divisors (265608404177760).

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

86216355015840 is a wasteful number, since it uses less digits than its factorization.

86216355015840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 86216355015840 in words is "eighty-six trillion, two hundred sixteen billion, three hundred fifty-five million, fifteen thousand, eight hundred forty".